Select the equivalent expression.

Select The Equivalent Expression.

Answers

Answer 1

Answer:

The Answer is B

Step-by-step explanation:

In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]


Related Questions

which property explains why these two expressions are equal ? -5(x-4)=-5x+20)​

Answers

Answer:

distributive property of multiplication

Step-by-step explanation:

Given

Expression -5(x-4)= -5x+20

It is demonstrating the distributive property of multiplication

a(b + c) = ab + ac

Order these numbers from largest at the top, to smallest at the bottom.

1.57x10^-4
4.5x10^3
1.3x10^1
987

Answers

Step-by-step explanation:

Question:-

Order these numbers from largest at the top, to smallest at the bottom.

1.57x10^-4

4.5x10^3

1.3x10^1

987

We can see that:-

The exponent with highest power is the largest number.

Here, the largest number is

[tex]1.3 \times 10 ^3[/tex]

Next, is [tex]987[/tex]

Smaller than this, next is :-

[tex]1.3 \times 10^1[/tex]

A number with negative power is smaller.

So, last is

[tex]1.57 \times 10^{-4}[/tex]

Hope it helps :)

A school nurse can give 25 eyes test in a two-hour period. How long will it atke the nurse to give eye test to all 600 student sin her school?

Answers

Answer:

96 hours

Step-by-step explanation:

25 eyes - 2 hours

1200 eyes* - x hours

[tex]x = \frac{2 \times 1200}{25} [/tex]

[tex]x = 96[/tex]

*each student has 2 eyes. So 600 students have 600×2=1200 eyes.

It will take the nurse 48 hours to give eye tests to all 600 students in her school.

What is Expression?

An expression is combination of variables, numbers and operators.

If the nurse can give 25 eye tests in two hours, then she can give 12.5 tests in one hour (since 25 divided by 2 equals 12.5).

To give eye tests to all 600 students, the nurse will need to give 600 tests in total.

Using the rate of 12.5 tests per hour, we can set up a proportion:

12.5 tests / 1 hour = 600 tests / x hours

Apply Cross-multiplication

12.5 tests ×  x hours = 600 tests

Divide both sides by 12.5 tests

we get,  x hours = 600 tests / 12.5 tests per hour

x hours = 48 hours

Therefore, it will take the nurse 48 hours to give eye tests to all 600 students in her school.

To learn more on Expressions click:

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Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11

Answers

Step-by-step explanation:

v=kg

36=k×4

k=36/4

k=9

v=9×11

v=99

V= 99

36/4= v/11
9=v/11
Multiply both sides by 11 to get rid of /11
99=v

Find the area of the shape.

Answers

7 x 6 = 42 x 5 = 210 x 8 = 1,680 x 4 = [ 6,720 ]

plz ive been stuck on this for an hour plzzz help?​

Answers

Answer:

2x<10

Step-by-step explanation:

Try to figure it out from there

Hint: division

Answer:

[tex]x < 5[/tex]

Look at attachment for graph.

Step-by-step explanation:

Solving the inequality just has us isolate the x value.

[tex]-9 + 2x < 1[/tex]

Add 9 to both sides to cancel out -9

[tex]2x < 10[/tex]

Finally, divide both sides by 2 to get rid of the 2 on the x.

[tex]x < 5[/tex]

To graph this, you will just add an open circle on 5 and shade every number to the left of it.

13. Find g(f(5)) if g(x) = 2x - 7 and F(x) = -4x - 7

Answers

Answer:

g(f(5)) = - 61

Step-by-step explanation:

Evaluate f(5) then substitute the value obtained into g(x) , that is

f(5) = - 4(5) - 7 = - 20 - 7 = - 27 , then

g(- 27) = 2(- 27) - 7 = - 54 - 7 = - 61

Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction

Answers

Answer:

-1/64

Step-by-step explanation:

welcome

Answer:

A

Step-by-step explanation:

edg2020

Find the slope of
(-16,3), (13,8)

Answers

Answer:

= 5/29

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = ( 8-3)/(13 - -16)

    = ( 8-3)/( 13+16)

   = 5/29

suppose three Riders rode a total of 260 Mi if they use a total of 18 horses and rode each horse to the same number of miles how many miles did they ride before replacing the horse​

Answers

Answer:

14.3 - Not entirely sure?

Step-by-step explanation:

So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3

Which number is IRRATIONAL?
A)
16
B)
25
C)
48
D)
100

Answers

Answer:

E

Step-by-step explanation:

B) for sure djdjdjdjdjdjdj

for a fifth order polynomial, if x=a+bi is a root, and x=c+di is a root, how many real roots are there?
A. 1
B. 2
C. 5
D. 3

Answers

1 roots are real.

If x=a+bi is a root then so is x=a-bi and if x=c+di is a root then so is x=c-di and all of those have imaginary numbers so they are not real therefore, there is only one real root.

Three times the sum of twice n and 6 is the same as the product of four and n less 2. Find n

Answers

Answer:

n=12

Step-by-step explanation:

Given: AE = BD; CD = CE

Prove AC = BC

Answers

Step-by-step explanation:

Funny question!

AE=BD

A= BD/E

Then,

CD=CE

D=E

therefore, A=BE/E (SINCE, D=E)

So, A=B

or, AC= BC (multiplying by C)

What transformations occur for the following equation? *
y = 8(x - 1)3 + 7

Answers

Answer:

☆<¤HOPE IT WILL HELP you >

y=(8x-8)3+7

y=24x-24+7

y=24x-17

17=24x

17/24=x

SO == x-17/24 y= 17

how can u
Simplify negative 9 over 6 divided by 3 over negative 2. .

Answers

Answer:

negative 3 over 2 divided by 3 over negative 2.

explanation:

negative 9 over 6 simplified is:

3:2 as a ratio which is negative 3 over 2.

sidawidnianddinhwidnaindianwdawdawd

Answers

Answer:

yes

Step-by-step explanation:

yes

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

Answers

Answer:

17%

Step-by-step explanation:

$30-100%

$35-x%

x%=35*100/30

x%=116.6%

116.6%-100%=16.6%~17%

What is an equation of the line that passes through the point (-2,3) and is
parallel to the line for 4x- y = 1?

Answers

4x-y=-11. Download Desmos

Aggie is an australian exchange sudent in china, and she currenly has 14,000 yuan in her bank account. If the exchange rate changes from 1 australian dollar to 6.21 yuan to 1 australian dollar 6.37 chinese yuan, what happens to the value in australian dollars of the money in aggies bank account

Answers

Step-by-step explanation:

Amount in Aggie bank account = 14,000 yuan

Initial exchange rate:

1 Australian dollar = 6.21 yuan

Initial amount in Australian dollars will be;

x aus dollar = 14,000 yuan

cross multiply

6.21x = 14,000

x = 14,000/6.21

x =  2,254.428 australian dollars

If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;

1 Australian dollar = 6.37 yuan

y Australian dollar = 14,000 yuan

cross multiply

6.37y = 14,000

x = 14,000/6.37

y = 2,197.80 Australian dollars

The change in her account balance due to increase in exchange rate is y-x

y-x = 2,197.80 - 2,254.428

y-x = -56.626 aus dollars

This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.

Solve the equation (leave your answer as an improper fraction)

x-2/3=-2

Answers

x = -2 + 2/3
= -6/3 + 2/3
= -4/3

Answer:

x = -2 + 2/3

= -6/3 + 2/3

= -4/3

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help

Answers

Answer:

[tex]121=6w[/tex]

Step-by-step explanation:

Formula for perimeter of a rectangle:

[tex]P=2l+2w[/tex]

[tex]w[/tex] = width

[tex]l[/tex] = length

Since the length is twice the width,

[tex]l=2w[/tex].

So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,

[tex]121 = 2(2w)+2w[/tex]

And after some simplification, we are left with,

[tex]121 = 6w[/tex]

Required
1. Gabby won 70 super bouncy balls playing basketball at the county fair. At school she gave one
to every student in her math class. She only has 51 remaining. How many did she give away?

Answers

Answer:

19

Step-by-step explanation:

70 - 51 = 19

To check:

19 + 51 = 70

What is the solution to the following system of equations y=2x-4 Y=x

Answers

Answer: (4,4)

Step-by-step explanation:

Hope this helps

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.
Which pair of angles is supplementary?

∠RXZ and ∠YXZ
∠PXQ and ∠RXS
∠YZX and ∠UZT
∠WZX and ∠XYZ

Answers

Answer:

The answer is A

Step-by-step explanation:

<RXZ AND <YXZ

Answer:

its a

Step-by-step explanation:

-3z-1=1-7z simplify​

Answers

Answer:

z = 1/2

Step-by-step explanation:

Step 1: Write equation

-3z - 1 = 1 - 7z

Step 2: Solve for x

Add 7z to both sides: 4z - 1 = 1Add 1 to both sides: 4z = 2Divide both sides 4: z = 1/2

Step 3: Check

Plug in z to verify it's a solution.

-3(1/2) - 1 = 1 - 7(1/2)

-3/2 - 1 = 1 - 7/2

-5/2 = -5/2

Factor the expression using the GCF 48+80
Please Help.

Answers

Answer:

Then common factor is 16

Step-by-step explanation:

The factored expression is equivalent to -

8(6 + 10)

What is Greatest Common Factor?

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given is to factor the given expression using the greatest common factor A = 48 + 80

For -

48 = 2 x 2 x 2 x 2 x 3

80 = 2 x 2 x 2 x 5

Using the greatest common factor, we can write -

48 + 80

8(6 + 10)

Therefore, the factored expression is equivalent to -

8(6 + 10)

To solve more questions on functions, expressions and polynomials, visit the link below -

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What is 51/5*(-5) ?​

Answers

The answer would be -51

combine like terms -3c+5c
a.8c
b.-2c
c.-8c
0r
2c
plz help idk

Answers

Answer:

2c

Step-by-step explanation:

Answer:

2c

Step-by-step explanation:

HELP!! 30 POINTS!

The figure has ____ line(s) of symmetry

Answers

Answer: 2 Lines of Symmetry

Step-by-step explanation: Split it into 2 halves = 2 Lines of Stmmetry

Answer:

The figure has two line(s) of symmetry.

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