Question

rewrite using a single positive exponent.\\(\frac{4^{9}}{4}\\)

Explanation:

Step1: Express denominator as exponent

Note that $4 = 4^1$, so the expression becomes $\frac{4^9}{4^1}$.

Step2: Apply exponent subtraction rule

For $\frac{a^m}{a^n}=a^{m-n}$, substitute $a=4, m=9, n=1$:
$4^{9-1}$

Step3: Calculate the exponent

$9-1=8$, so we get $4^8$.

Answer:

$4^8$