rewrite using a single positive exponent.\n$\frac{5^{4}}{5^{-2}}$

Explanation:

Step1: Use exponent - division rule

According to the rule $\frac{a^m}{a^n}=a^{m - n}$, where $a = 5$, $m = 4$ and $n=-2$. $5^{4-(-2)}$

Step2: Simplify the exponent

$4-(-2)=4 + 2$. $5^{4 + 2}$

Step3: Calculate the final exponent

$4+2 = 6$. $5^{6}$

Answer:

$5^{6}$