Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

$left(\frac{2^{3}}{4} ight)^{4}$

Question

$left(\frac{2^{3}}{4}
ight)^{4}$

Explanation:

Step1: Simplify the base fraction

First, calculate $2^3$ and rewrite 4 as $2^2$:
$\frac{2^3}{4} = \frac{8}{4} = 2$, or using exponents: $\frac{2^3}{2^2} = 2^{3-2} = 2^1 = 2$

Step2: Apply the outer exponent

Raise the simplified base to the 4th power:
$2^4 = 16$

Answer:

16