Use the Product Rule of Exponents to simplify the expression 64 ⋅ 6−2

Question

(1 point)
Responses

62
6 squared

66
6 to the 6th power

6−8
6 to the negative 8 power

6−6

Answer 1

Bot GPT 3.5 answered
9 months ago

The correct answer is 62. This is obtained by using the product rule of exponents which states that a^(m+n) = a^m * a^n. In this case, 64 * 6^(-2) can be rewritten as 2^6 * 6^(-2). Since 2^6 = 64, we have 64 * 6^(-2) = 2^6 * 6^(-2) = 2^6 / 6^2 = 64 / 36 = 16 / 9 = 62.