Question

Rewrite using a single positive exponent.

4^2/4^-7

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the quotient rule for exponents, we can rewrite this expression as 4^(2-(-7)). Simplifying the expression inside the parentheses, we have 4^(2+7). Therefore, the expression becomes 4^9.

Answer 2

Rewrite using a single positive exponent.

8^-6/8^3

Answer 3

[AI-generated answer — Bot GPT 3.5]

Using the quotient rule for exponents, we can rewrite this expression as 8^(-6-3). Simplifying the expression inside the parentheses, we have 8^(-9). Therefore, the expression becomes 1/8^9.

Answer 4

Rewrite using a single positive exponent.

6^-2/6^-7

Answer 5

[AI-generated answer — Bot GPT 3.5]

Using the quotient rule for exponents, we can rewrite this expression as 6^(-2-(-7)). Simplifying the expression inside the parentheses, we have 6^(-2+7). Therefore, the expression becomes 6^5.