Question

simplify. rewrite the expression in the form $9^n$. \\(\frac{9^{-3}}{9^{12}} = \\)

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{9^{-3}}{9^{12}}=9^{-3-12}$

Step2: Calculate the exponent

Compute the subtraction of the exponents
$9^{-3-12}=9^{-15}$

Answer:

$9^{-15}$