Question

simplify: $\frac{3^{-5}}{3^{-7}}$a $\frac{1}{3^{12}}$b $3^{2}$c $\frac{1}{3^{2}}$d $3^{12}$

Explanation:

Step1: Apply exponent division rule

For $\frac{a^m}{a^n}=a^{m-n}$, so $\frac{3^{-5}}{3^{-7}}=3^{-5-(-7)}$

Step2: Simplify the exponent

$3^{-5+7}=3^{2}$

Answer:

B. $3^2$