Question

what is the value of the missing exponent?
p^-3 / p^? = 1/7

A. p^-4

B. p^10

C.P^4

D. p^0

Answer 1

Are you sure

Answer 2

are you sure this time

Answer 3

A. p^-4

Answer 4

My apologies, I made a mistake in my previous response. Let's solve it again.

Given: p^-3 / p^? = 1/7

First, simplify the left side of the equation:
p^-3 / p^? = p^(-3-?) = 1/7 ==> p^(-3-?) = 1/7

Now, we know that the value of the missing exponent should make the equation true. Therefore, we can rewrite the equation as an equation of exponents:
(-3 - ?) = -1

Solve for ?:
-3 - ? = -1
? = -3 + 1
? = -2

So, the value of the missing exponent is -2.

Therefore, the correct answer is:

D. p^-2

Answer 5

Let's reevaluate the problem to ensure we find the correct answer.

Given: p^-3 / p^? = 1/7

When dividing like bases, we subtract the exponents. So, we have:
p^(-3-?) = 1/7

This can be rewritten as:
1/p^(3+?) = 1/7

Now, we can see that the exponents must equal each other. So:
3 + ? = 0
? = -3

Therefore, the correct answer is:

A. p^-3