Question

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

$\bullet$ 0
$\bullet$ 1
$\bullet$ 4
$\bullet$ 16

Answer 1

EXPLANATION.

Method = 1.

$\implies (16)^{-1/4} \times \sqrt[4]{16}$

As we know that,

We can write equation as,

$\implies \dfrac{1}{(16)^{1/4} } \times \sqrt[4]{16}$

$\implies \dfrac{1}{\sqrt[4]{16} } \times \sqrt[4]{16} \ = 1$

Method = 2.

$\implies (16)^{-1/4} \times \sqrt[4]{16}$

$\implies (2)^{(-4/4)} \times \sqrt[4]{(2)^{4} }$

$\implies (2)^{-1} \times (2)^{(4 \times 1/4)}$

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

$\implies \dfrac{1}{2} \times 2 \ = 1.$

Option [B] is the correct answer.