Question

simplify. rewrite the expression in the form $4^n$. $\frac{4^{11}}{4^{-8}} = \square$

Explanation:

Step1: Apply exponent division rule

For same bases, $\frac{x^a}{x^b}=x^{a-b}$
$\frac{4^{11}}{4^{-8}}=4^{11-(-8)}$

Step2: Simplify the exponent

Calculate the subtraction of exponents
$4^{11+8}=4^{19}$

Answer:

$4^{19}$