Simplify using the laws of exponents.

[2⁴/2³]⁵

Answers

Answer 1

To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.

It is asking us to simplify it using exponents.

Exponents are these little numbers beside a big number Telling it how much you multiply it by.

EXAMPLES

2^3 is just 2x2x2

2^4 is just 2x2x2x2

Notice the pattern? I hope so!

Now 2 to the power of 4 is 16. Our new equation looks like this

{16/2^3}^5.

Now 2 to the power of 3 is 8.

So, our new equation is

{16/8}^5

In which you get 2^5 which is just 2x2x2x2x2

And you get 32 as the final answer

I hope this helped and if you have questions just tell me!!


Related Questions

I need this answer
ASAP!

Remainder of 52,259 divided by 215

Answers

Answer:

14

Step-by-step explanation:

52,259 divided by 215 is 243.065116279

so we know that the nearest whole number is 243.

243x215 is 52,245

subtract 52,245 from 52,259 which gives you the remainder of 14

help ASAP please PLS​

Answers

Answer:

-103

Step-by-step explanation:

Just subtract

Answer:

-103

Step-by-step explanation:

You add all the numbers then put the negative sign.

To make 8 dozen cookies, you must use 2 eggs. How many eggs are needed to make 40 dozen cookies? Use a proportion to solve.

Answers

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Answer:For 40 dozen cookies, 10 eggs are required.Step-by-step explanation:

Our created proportion is 8:2::40:x

=> 8x = 80=> x = 10Conclusion:

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

What is the solution to the equation? −12x=−3 Enter your answer as a simplified fraction in the box. x =

Answers

Answer:

1/4

Step-by-step explanation:

This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!

Answer:

1/4

Step-by-step explanation:

-12x = -3

x = 12 : -3

x = 1/4

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

check

-12 * 1/4 = -3

-3 = -3

the answer is good

h(8) = -2(8)^2 + 4(8)- 7

Answers

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in
14 hours? What is the rate of speed of the jet?

Answers

3150 miles in 14 hrs

225 mph

hope this helps!

Can someone help me with these equation

Answers

Answer:

6

Step-by-step explanation:

i think this is correct answer

the answer is b = 12


mark me

A class has 6 boys and 14 girls. What is the ratio in simplest form that compares number of boys to total number of students?
A. 6:14
B. 6:20
C. 3:7
D. 3:10

Answers

C) 3:7
hope this is helpful!

create an equivalent ratio to 20:24 by dividing both sides by 4

Answers

Answer:

5:6

Step-by-step explanation:

20 divided by 4 = 5

24 divided by 4 = 6

So the ratio is 5:6

Some please help me I’ll give you brainlist answer

Answers

Answer:

Step-by-step explanation:

The area of the square is 3 units by 3 units. because the area of a square is side length squared.

side length = 3

side length^2 = 3 * 3 = 9

The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.

Answer:

The area of the square is 9 aka [tex]3^{2}[/tex]

You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9

It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.

Lilly buys fresh fruit from a fruit stand. Apples cost $5 per pound and oranges cost $4 per pound. She has $40 to spend. The table shows the function relating the number of pounds of apples, x, and the number of pounds of oranges, y, Lilly could purchase.

Apples (lb) Peaches (lb)
x y
0 10
1 8.75
2 7.5
4 5
6 2.5
8 0

Answers

Answer:

Different ways to answer this question

Step-by-step explanation:

You can do a ratio  of 1:4 apples and 1:5 oranges

Which is the sum of two or more different monomials?

Answers

Answer: Polynomial

Step-by-step explanation:

if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation

Answers

Answer:

none of them bc they're all bad kids

Step-by-step explanation:

2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?

Answers

Answer:

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

Step-by-step explanation:

W = -275(2t-7), where t is hours since pumping starts.  Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).    In this case we'll use W and t instead of x and y.

W = -275(2t-7)

W = -550t + 1925

The 1925 figure represents the water volume when t = 0, the initial volume.  The slope of -550 is the rate at which water is being pumped out.  550 gallons/hr.

We can solve the equation for the hours required to make w=0:

W = -550t + 1925

0 =  -550t + 1925

550t = 1925

t = 3.5 hours

-

We can solve for when W = 1,000:

W = -550t + 1925

1000 = -550t + 1925

-925 = -550t

t = 1.682 hours

a.  550 gallons/hr.

b.  1925 gallons

c.  1.268 hours

d.  3.5 hours

We can also graph the function. attached.

 

You went to a carnival. Each ride cost $2.50. Let n represent the
number of rides.

Answers

how much rides are there??

Mrs. Crandall spent $42 on window shades that were on sale for a certain percent discount. The original price of the shades was $70. What percent was the discount?

Answers

To calculate the percent you need to:

Subtract the new price from the old price

70 - 42 = 28

Divide this number by the original price

28/70 = 0.4

Multiply this number by 100

0.4 * 100 = 40

The percent of discount was 40% off. What a steal.

ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.

Answers

Answer:

95

Step-by-step explanation:

Hope this helps :)

Merry Christmas. Have fun.

The size of ∠CDE labelled d° = 95° Given,

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given,

In triangle DAF

∠DAF = 25°

∠DFA = 40°

Sum of all interior angles is 180°

∠DAF + ∠DFA + ∠ADF = 180°

25° + 40° + ∠ADF = 180°

65° + ∠ADF = 180°

∠ADF = 180° - 65°

∠ADF = 115°

Triangle DFE is equilateral

∠FDE = 60°

ABCD is an square

∠CDA = 90°

Now,

∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°

90° + 115° + 60° + d° = 360°

d° = 360° - 265°

d° = 95°

Hence, 95° is the size of ∠CDE labelled d°.

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ2

could someone help me find the stuff?

Answers

Answer: i cant really see the homework

Step-by-step explanation:

I didnt know id you wanted all so
2. (-4,1) (-2,-1)
3. (-1,-4) (1,-3)
4. (-4,4) (0,-1)
5. (2,-1) (3,-1)
6. (-2,1) (-3,-3)
7. (-4,3) (-2,-1)
8. (0,-2) (0,-4)

Hope it helps!

A line passes through the point (4, -6) and has a slope of -2. Which is the equation of the line?
O y=-x-3
O y--RX-6
O y=-3x-
O y=-x-
o ya
-

Answers

Answer:

The posted photo says the slope is -(3/4).  I'll use that, instead of -2 as written in the question.

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

With a slope of -(3/4), we can write:  y = -(3/4)x + b.

To find b, use the given point (4,-6):

y = -(3/4)x + b

-6 = -(3/4)(4) + b   for (4,-6)

-6 =  -3 + b

b = -3

The line is y = -(3/4)x - 3

The first option.

Determine the unit rate. Use mental math when you can. 6 golf balls for $15

Answers

Answer:

1 golf ball : $2.50

Step-by-step explanation:

You can first divide 6 and 15 by 3, and get 2 and 5.Then, you divide 5 by 2, which is 2.5Therefore, the unit rate is 1 golf ball : $2.50

HELPPP PLZZ AND THANK YOU <3

Answers

Answer:

Step-by-step explanation:

If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now

Answers

Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

write the equation of the line given the two points. (4,-3) and (3,1)

Answers

Answer:

y=-4x+13

Step-by-step explanation:

y=mx+b

slope =

1--3/3-4

4/-1

-4/1

y-1=-4(x-3)

y-1=-4x+12

y=-4x+13

Answer:

[tex]y = -4x + 13[/tex]

Step-by-step explanation:

First, find the slope (denoted by the variable, m). Use the following equation:

slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]

Use the slope-intercept form. The slope-intercept form is:

[tex]y = mx + b[/tex]

Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:

[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]

Plug in the slope (m) and the y-intercept (b) to get your equation:

[tex]y = -4x + 13[/tex]

~

what are the different types of geometric constraints that are applied to sketches, and what are their functions?

Answers

Some examples of geometric constraints include parallelism, perpendicularity, concentricity and symmetry. Parallelism occurs when two or more lines or axes of curves are equidistant from each other. Perpendicularity is a constraint in which lines or axes of curves intersect at right angles.

the area of a triangle is 162 square meters. the height is 18 meters. what is the base

Answers

1345533 is the answer because I want points

Answer:

Triangle Area = (1/2) * base * height

base = 2 * Area / height

base = (2 * 162) / 18

base = 324 / 18

base = 18 meters

Step-by-step explanation:

2(x + 3) = x-4

What does X equal !!!

Answers

Answer x =-10

Step-by-step explanation:

:)

Does anyone get this question?

Answers

Answer:

a= 121°

b=62°

c=59°

Step-by-step explanation:

I first found b because they are vertical angles

Because I know the measure of angle b I take 180 (total sum of a triangle) and subtracted 62 from 180 which gave me 59 and because both base angles are equal to each other I divided 118 by 2 which gave me 59. Giving me the measure of angle c.

By adding angles b and c they would give me the measure of angle a.

__________________________________________________________Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

X=-2y,x-y=9 solve by substitution SHOW ALL WORK

Answers

Answer:

x = 6, y = -3

Step-by-step explanation:

x = -2y

x-y = 9

Substitute x = -2y into the equation.

;(-2y)-y = 9

-3y = 9

y = 9/-3

y = -3

Substitute y = -3 into the equation.

x = -2y

x = -2(-3)

x = 6

Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.

Answers

The values of k that will cause the system of equations to have no solution is; k = 7 and 21

We are given the simultaneous equations;

6x - 4y = 14

3x - 2y = k

Now, for both equations not to have a solution it means that x and y can't be made to be subjects.

Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.

By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.

Thus;

2k = 14

k = 14/2

k = 7

Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.

Read more about simultaneous equations at;https://brainly.com/question/17671517

Answer:

-2, 5, 10, 21

A, B, D, E

Simplify
4^33 8^37
—————-
4^15 8^21

A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16

Answers

Answer:

A

Step-by-step explanation:

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