Question

which expression is equivalent to $\frac{5^{30}}{5^{6}}$? $5^{24}$ $5^{5}$ $5^{5}cdot5$ $5^{36}$

Explanation:

Step1: Apply exponent - division rule

Use the rule $\frac{a^m}{a^n}=a^{m - n}$, where $a = 5$, $m = 30$, and $n = 6$.
$5^{30-6}$

Step2: Calculate the exponent

$30−6 = 24$, so $5^{30 - 6}=5^{24}$

Answer:

$5^{24}$