Question

Evaluate the value of $\frac{4^{-4}}{4^{-7}}$.

• A. $4^{-3}$
• B. $4^3$
• C. $4^{-11}$
• D. $4^{-8}$

Answer 1

The correct option is B $4^3$

We know that, $\frac{a^m}{a^n}=a^{m-n}$
$\therefore \frac{4^{-4}}{4^{-7}}=4^{-4-(-7)=4^{-4+7}=4^3}$