Question

apply the properties of integer exponents to generate equivalent expressions to 3^(7)*3^(-9) with only positive exponents, then solve the expression. your answer will be a simplified fraction with no remaining exponent

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the properties of integer exponents, we can combine the expressions 3^(7) and 3^(-9) into one expression by adding their exponents. This gives us 3^(7+(-9)) = 3^(-2).

To rewrite 3^(-2) with only positive exponents, we can take the reciprocal of the expression. The reciprocal of 3^(-2) is 1/(3^2) = 1/9.

Therefore, the expression 3^(7)*3^(-9) is equal to 1/9.

In simplified form, the answer is 1/9.