Question

rewrite $9^{-3}$ using a positive exponent.
what does the exponent tell you about the expression?
$9^{-3}$ is equal to 3 factors of $\frac{1}{9}$.
how can you rewrite the expression using a positive power of 9?
$9^{-3}=$ ?

Explanation:

Step1: Recall negative exponent rule

For any non-zero base $a$ and integer $n$, $a^{-n} = \frac{1}{a^n}$

Step2: Apply rule to $9^{-3}$

Substitute $a=9$, $n=3$ into the rule:
$9^{-3} = \frac{1}{9^3}$

Answer:

$\frac{1}{9^3}$