lets evaluate (3^6)^1/2

step by step.

Answers

Answer 1

Answer:

27

Step-by-step explanation:

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]

use

[tex](a^n)^m=a^{n\cdot m}[/tex]

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]

simplify

[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]

other

[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]

therefore

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]

Answer 2

[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]


Related Questions

HELP PLEASE!!! i will give brainly! +10 points

Suppose each cube in this right rectangular prism is a -inch unit cube.



What are the dimensions of the prism?
What is the volume of the prism?

Answers

Answer:

1 number 1

Step-by-step explanation:

1 because of 1 of 1

Answer:

1000  hope its right

Step-by-step explanation:

8 · Find the volume of the rectangular prism with the dimensions 11 by 9 by 3. 23 in 297 in 318in 159in I think the answer is c 318 in. geometry A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

HELP PLEASEEEE I CANT DO THIS QUESTION

Answers

the answer is 6 . i dont know how else to say
Part a should be 1,600 over 260 which should be 80/13. And as for the second one it should be 800 since half of 1600 is 800. -> 800/1600 in simplest form would be 1/2

Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x + y = 18. x = 2 y.

What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)

Answers

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

x = 2y

2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12


(12,6)

A rectangular lawn is 15 yards by 26 yards. It would cost $9.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?

Answers

Answer: $738

Step-by-step explanation:

Find the perimeter:

15 + 15 + 26 + 26 = 30 + 52 = 82 yards.

Since it's $9 per yard, multiply:

82 · $9 = $738

Answer:

The answer is $738

please help! :( ive been stuck on this for about 30 minutes


Suppose each cube in this right rectangular prism is a -inch unit cube.




What are the dimensions of the prism?

What is the volume of the prism?

Answers

Answer:

dimensions: 4x5x3

volume: 60 cube inches

Step-by-step explanation:

assuming each cube is a one inch cube:

the dimensions of the prism are length 5 -inches, width 4 -inches and height 3 -inches. So, 4x5x3

the volume of a prism is the length x width x height, so the volume is 4x5x3 = 60 inches cubed.

Answer:

length = 5 inches

width  = 4 inches

height = 3 inches

So dimensions are 5 x 4 x 3 inches

Volume = l · w · h

V = 5 · 4 · 3 = 60 square inches.

The largest amount of money in your bank account was $143.
Write an inequality for the possible amount of money, m, in your bank account.

The smallest species of frog is 7.7 millimeters long.
Write an inequality for the height, h, of all the other frog species.

Answers

Answer:

a) [tex]m\leq 143[/tex]

b) [tex]h>7.7[/tex]

Step-by-step explanation:

1. Part a

Part a says the largest amount was $143

Largest = $143

It doesn't say it can't equal $143

[tex]m\leq 143[/tex]

2. Part b

Part b says the smallest was 7.7 mm

Smallest = 7.7 mm

It says for all other frog species, so not including the smallest

[tex]h>7.7[/tex]

Hope this helped! Please mark brainliest :)

H>7.7 hope that helped

Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the hypotenuse? b) A right triangle has a side length of and a hypotenuse of 1/4 length . What is the length of the other side? 1/3

Answers

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

A)

Formula : a² + b² = c²

2.4² + 6.5² = c²

5.76 + 42.25 = c²

c = √48.01

c ≈ 6.93

B)

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A)

Data:

P = 6.5 cm

B = 2.4 cm

H = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]H^{2} = 6.5^{2} cm+ 2.4^{2}[/tex] cm

=> [tex]H^{2}[/tex] = 48.01 cm

=> H = [tex]\sqrt{48.01}[/tex] cm

=> H = 6.92 cm

Ans: the length of the hypotenuse is 6.92 cm.

B)

Data:

P = [tex]\frac{1}{4}[/tex]

H = [tex]\frac{1}{3}[/tex]

B = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]\frac{1}{3}^{2}[/tex] cm = [tex]\frac{1}{4}^{2}[/tex] cm+ [tex]B^{2}[/tex]

=> 0.11 cm = 0.06 cm + [tex]B^{2}[/tex]

=> [tex]B^{2}[/tex] = 0.11 cm - 0.06 cm

=> B = [tex]\sqrt{0.05}[/tex] cm

=> B = [tex]\frac{11}{50} [/tex] cm

Ans: the length of the other side is [tex]\frac{11}{50} [/tex] cm.

How do you call a function that have a power higher than 1?

Answers

the power in the function
The power is in the function

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

Answers

Answer:

Part A

x is 46°

Part B

Alternate angles are angles that are in relatively opposite locations relative to a transversal

Step-by-step explanation:

Part A

∠DRP  = 110° (Given)

∠QPA = 64° (Given)

∠QPR =

Given that AB is parallel to CD, we have;

∠DRP is congruent to ∠APR (Alternate angles to a transversal RP of parallel lines AB and CD)

Therefore, ∠APR = 115°

∠APR = ∠QPA + ∠QPR (Angle addition postulate)

∴ 115° = 64° +  ∠QPR

∠QPR = 110° - 64° = 46°

x = 46°

Part B.

Given that AB is parallel to CD, the lines common (that intersects) both lines are the transversal lines

The angles formed between the parallel lines and the transversal lines have special relationships based on their position with respect to each other

In the question, the angle 110° given between CD and the transversal RP, is found to at an alternate position to the angle ∠APR between the same transversal RP and AB and given that alternate angles are always equal, angle ∠APR is therefore also equal to 110°.

X would equal 46 degrees

Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)

x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.
x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.
x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3.

Answers

Answer:

x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3

Step-by-step explanation:

B because when you multiply 4 times 2 8

Proof that the formula Fn = Fn-1 + Fn-2 works
Fibonacci python

Answers

Umm— fn-1+Fn-2?? Fibonacci python
= f6 .

IV. The sum of the first n Fibonacci numbers with even indices is

f2 + f4 + ... + f2n = f2n+1 - 1.

Proof:

From II,

f1 + f2 + f3 + ... + f2n = f2n+2 - 1.

When we subtract the result from III, we get the desired result.

Example:

f2 + f4 + f6 + f8 + f10 + f12 = 1 +3 + 8 + 21 +55 +144

= 232

= f13 - 1 .

V. The sum of all (fn+1)/ (fn )

converges to the Golden Ratio.

3/1 + 5/3 + 8/5 + 13/8 .... converges to ) / 2.

Proof that Rn converges to the Golden Ratio:

Let R = lim Rn as n approaches infinity

= lim f n+1 / f n as n approaches infinity

= lim fn + fn-1 /fn as n approaches infinity

= lim (1 + fn-1/ fn) as n approaches infinity

= 1 + lim (fn-1 /fn ) as n approaches infinity

= 1 + 1/ lim (fn-1 /fn ) as n approaches infinity

= 1 + 1/R

So, R = 1 + 1/R,

or R^2 = R + 1,

R^2 - R - 1 = 0,

R = ( ) / 2

= ( ) / 2

Since Rn is positive, Rn = ( ) / 2 .

Thus, Rn converges to the Golden Ratio.

Sathish is going on a 2100 km road with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drops off when 150 kilometers are remaining. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter.

Sathish will pay for all the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for the gas?

Answers

Answer:

Sathish will pay for $50.40

Sathish will ofcourse pay 50.40

hElP mEh

What integer does the arrow indicate?

-9
-14
-3
6

Answers

Lava lava shops gabba lava Ava

simplify

(x^a)^b-c×(x^b)^c-a×(x^c)^a-b

step by step...

Answers

Answer:

= (xa+b)a-b .(xb+c)b-c. (xc+a)c-a

Or

= x(a+b)(a-b). x(b+c)(b-c) .x(c+a)(c-a)

Answer:

[tex]\left(x^a\right)^b-c\left(x^b\right)^c-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-a\left(x^c\right)^a-b[/tex]

[tex]=x^{ab}-cx^{bc}-ax^{ac}-b[/tex]

-------------------------

Hope it helps...

Have a great day!!

How would you do this?

Answers

it would be 6.0x4 because the square is 6.0 on each side
The answer is 6.0 x 4

what is the additive inverse of [tex]\frac{2}{3}[/tex]
A. 3/2
B. 0
C. -2/3
D. -3/2

show al your work please due very soon

Answers

Answer:

your answer is C. -2/3

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.

I believe your answer would be C

Please help! I cannot figure this out.

Answers

X=60°

[ACCORDING TO THE PICTURE]

It’s 120 because one of the right angles is 150, and then you mirror it to the other side so 150 - 30 = 120
X=120

[tex]Solve:\\x= -x[/tex]

Answers

You can subtract a negative number from a positive number or add a positive number to a negative number

Example:

4 - (7) = -3

Or

-8 + 9 = 1


Whatever you are adding has to be greater than the number you are adding on too

Example:

-3 + 5 = 2
Notice how the five is greater than 3

Whatever you are subtracting has to be Greater than the number you are subtracting from.

Example:

5 - 8 = -3
Notice how the eight is greater than five.



The situation changed when adding or subtracting with negative numbers. Every situation is different.



Hope this helps!

Good Luck!

You can subtract a negative number from a positive number or add a positive number to a negative number

Example:

4 - (7) = -3

Or

-8 + 9 = 1

Whatever you are adding has to be greater than the number you are adding on too

Example:

-3 + 5 = 2

Notice how the five is greater than 3

Whatever you are subtracting has to be Greater than the number you are subtracting from.

Example:

5 - 8 = -3

Notice how the eight is greater than five.

The situation changed when adding or subtracting with negative numbers. Every situation is different.

Hope this helps!

Celine's living room is 5 meters wide and 6 meters long. She wants to install white carpet that costs $3.00 per square meter. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$90

Step-by-step explanation:

First we find how much square meters are in the living room 5 x 6=30

Than we multiply by 3 for each square meter

30 x 3= 90.

Answer: 90$

Step-by-step explanation:

5 x 6 = 30m2

30 x 3 = 90$

Can I have help on the second question only, Thx

Answers

Answer:

is this geo?

Step-by-step explanation:

Answer:

measure a = 56

Step-by-step explanation:

Remember all angles on triangles equal up to 180, and it look that measure c is the same as measure b.

62+62=124

180-124=56

Therefore measure a is equal to 56, but I may be wrong, no one is perfect, but I hope this helps!

find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x

Answers

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

answer a is 360 and answer b is 180 :)

Can someone solve this please.

Answers

Answer:

find fist the lcm and gcf for each data

i jus needed some points really quickly

The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.

On a coordinate plane, there are 4 lines. Green line goes through (0, 0) and (2, -1). Blue line goes through (0, negative 2) and (2, negative 1). Pink line goes through (0.75, negative 2), and (2.5, 0). Purple line goes through (0, 1.5) and (2, 0).

Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4

Answers

Answer:

Step-by-step explanation:

.1x7 8, 6

Answer:

its A on endg

Step-by-step explanation:

trust.

have yall noticed for the quiz that every answer so far is a (if ur on the same one i am, assuming we are)

Can someone PLEASE help me?!

Answers

Answer:

156 inches of thread to make 3 tshirts becuase each shirt requires 52 inches of thread so 52 x 3 = 156

Step-by-step explanation:

Answer:

156 inches

Step-by-step explanation:

How much money would be in an account that starts with $125 and earns 2% interest a year over 3 years
LOOKING FOR A GOOD UNDERSTANDING EXPLAINING PLEASE

Answers

Answer:

132.5d

Step-by-step explanation:

=125*2/100

=250/100

=2.5 money

it gains 2.5 d

after 3 years it will have 7.5d

125+7.5=132.5d

Answer:

132.5d

Step-by-step explanation:

simplify

(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m

step by step

Answers

Answer:

m+a-1mn+m2+a-1np+n2n+a-mp+p2p8

Step-by-step explanation:

i just know sorry if this is wrong... :(

Da heck is this, ima go now, but it’s
A/m/a^m^a/n

y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Answers

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

Plug in the respective values ,

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer: 3.84

hope it helped!

Solve the following inequality and create the representing number line.

4(2w+3) ≥ - 28

Answers

Answer:

4(2w+3) ≥ - 28

8w+12≥-28

8w≥-40

w≥-5

Hope This Helps!!!

Answer:

4(2w+3) ≥ - 28

8w+12≥-28

8w≥-40

w≥-5

The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them: Number of packets Number of seeds 5 10 6 12 7 14 Which graph shows equivalent ratios? A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 4 and 3, 6. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 2 and 2, 2 and 3, 2. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 1, 1 and 2, 2 and 3, 3. A graph is drawn. The horizontal axis and vertical axis values are 0 to 15 in increments of 1. The horizontal axis label is Number of Packets, and the vertical axis label is Number of Seeds. Points are plotted on the ordered pairs 2, 1 and 4, 2 and 6, 3.

Answers

Answer:

the answer is 2

Step-by-step explanation:2 is the answer

please help me answer

Answers

Answer:

yes. alternate interior angles converse

Ez use the angles to boom
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