enter the correct answer in the box. simplify this expression. $\frac{4^{9}}{4^{3}}$
enter the correct answer in the box. simplify this expression. $\frac{4^{9}}{4^{3}}$
Answer
Explanation:
Step1: Apply exponent - division rule
According to the rule $\frac{a^m}{a^n}=a^{m - n}$, where $a = 4$, $m = 9$ and $n=3$. So $\frac{4^9}{4^3}=4^{9 - 3}$.
Step2: Calculate the exponent value
$9-3 = 6$, so $4^{9 - 3}=4^6$.
Answer:
$4^6$