# Simplified value of

Question:

Simplified value of $(16)^{-\frac{1}{4}} \times \sqrt[4]{16}$ is

(a) 0

(b) 1

(c) 4

(d) 16

Solution:

$(16)^{-\frac{1}{4}} \times \sqrt[4]{16}=\left(2^{4}\right)^{-\frac{1}{4}} \times\left(2^{4}\right)^{\frac{1}{4}}$

$=(2)^{-1} \times(2)^{1}$

$=2^{-1+1}$

$=2^{0}$

$=1$

$\therefore$ Simplified value of $(16)^{-\frac{1}{4}} \times \sqrt[4]{16}$ is 1

Hence, the correct option is (b).