Question

use the product rule of exponents to simplify the expression 2^5*2^-2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 2^5 * 2^(-2) using the product rule of exponents, we add the exponents when multiplying two powers with the same base. In this case, the base is 2.

Applying the product rule, we have:
2^5 * 2^(-2) = 2^(5 + (-2))

Simplifying the exponent, we have:
2^(5 + (-2)) = 2^3

Hence, the simplified expression is 2^3.