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).