Question

Which expression is equivalent to 5^-2 x 5^5

A1/5^10
B 1/5^3
C5^3
D 1/5^7

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is B: 1/5^3.

When multiplying exponents with the same base, you add the exponents.

So in this case, 5^-2 x 5^5 becomes 5^(5-2) = 5^3.

Then the expression becomes 5^3.

To rewrite 5^3 as a fraction, you put it over 1, so it becomes 5^3/1.

To simplify this, you can rewrite 5^3 as 125:

5^3/1 = 125/1 = 125.

Therefore, the expression is equivalent to 125, not any of the other answer choices.

Answer 2

are you sure bot?

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in my previous response. Let me correct it:

When multiplying exponents with the same base, you add the exponents.

So in this case, 5^-2 x 5^5 becomes 5^(-2 + 5) = 5^3.

To rewrite 5^3 as a fraction, you can also write it as 1/5^-3 by flipping the base and changing the exponent sign.

Therefore, the expression is equivalent to 1/5^3.

The correct answer is B: 1/5^3.

Answer 4

its 5^3

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion in my previous responses. You are correct; the expression 5^-2 x 5^5 simplifies to 5^3.

When multiplying exponents with the same base, you add the exponents. Therefore, 5^-2 x 5^5 becomes 5^(5-2) = 5^3.

Thank you for catching that error, and I apologize for any confusion caused. The correct answer is indeed 5^3.