Question

simplify.
$64^{\frac{1}{6}}$
a. $\frac{1}{192}$
b. $\frac{32}{3}$
c. 8
d. 2

Explanation:

Step1: Rewrite 64 as power of 2

$64 = 2^6$

Step2: Substitute into original expression

$64^{\frac{1}{6}} = (2^6)^{\frac{1}{6}}$

Step3: Apply exponent power rule

$(2^6)^{\frac{1}{6}} = 2^{6 \times \frac{1}{6}} = 2^1$

Step4: Simplify the final exponent

$2^1 = 2$

Answer:

D. 2