what is the simplified value of the exponential expression $16^{\frac{1}{4}}$?\n$\frac{1}{2}$\n$\frac{1}{4}$\…

Explanation:

Step1: Rewrite 16 as a power of 2

$16 = 2^4$, so $16^{\frac{1}{4}}=(2^4)^{\frac{1}{4}}$

Step2: Apply power - of - a - power rule

According to the rule $(a^m)^n=a^{mn}$, we have $(2^4)^{\frac{1}{4}}=2^{4\times\frac{1}{4}}$

Step3: Calculate the exponent

$4\times\frac{1}{4} = 1$, so $2^{4\times\frac{1}{4}}=2^1$

Step4: Simplify the result

$2^1 = 2$

Answer:

C. 2