Question

simplify: \\(\frac{2^8}{2^8}\\)
a. \\(\circ\\) 8
b. \\(\circ\\) \\(2^8\\)
c. \\(\circ\\) 4
d. \\(\circ\\) 1

Explanation:

Step1: Apply exponent division rule

For $\frac{a^m}{a^n}=a^{m-n}$, here $a=2$, $m=6$, $n=4$.
$\frac{2^6}{2^4}=2^{6-4}$

Step2: Calculate the exponent

$2^{6-4}=2^2$

Step3: Compute the final value

$2^2=2\times2=4$

Answer:

C. 4