Question

rewrite 9^(-3) using a positive exponent.
what does the exponent tell you about the expression?
9^(-3) is equal to ? factors of ?

Explanation:

Step1: Recall negative - exponent rule

The rule for negative exponents is $a^{-n}=\frac{1}{a^{n}}$, where $a
eq0$ and $n$ is a positive integer. For the expression $9^{-3}$, here $a = 9$ and $n = 3$.

Step2: Apply the rule

Using the rule $a^{-n}=\frac{1}{a^{n}}$, we get $9^{-3}=\frac{1}{9^{3}}$.

The exponent $- 3$ in $9^{-3}$ tells us that we have the reciprocal of 3 factors of 9. That is, $9^{-3}$ is equal to 3 factors of 9 in the denominator.

Answer:

$9^{-3}=\frac{1}{9^{3}}$; The exponent - 3 means the reciprocal of 3 factors of 9; 3, 9