Question

simplify 16^-1/4*4th root of 16

Answer 1

We need to recall the following rules for the exponent.

• $a^{-m}=\frac{1}{a^m}$
• $\sqrt[m]{a} =a^{\frac{1}{m} }$

This problem is about the exponent.

Given:

$16^{\frac{-1}{4} }*\sqrt[4]{16}$

$=\frac{1}{16^{\frac{1}{4} } } * 16^{\frac{1}{4}$

$=1$

Thus, $16^{\frac{-1}{4} }*\sqrt[4]{16}=1$

Answer 2

The expression E =

$16 { \frac{ - 1}{4} }^{} × \sqrt[4]{16}$

$16 { \frac{ - 1}{4} }^{} \times \sqrt[4]{16}$

$16 { \frac{ - 1}{4} }^{} \times 16 { \frac{1}{4} }^{}$

$16 { \frac{ - 1}{4} }^{} + { \frac{1}{4} }^{}$

$16 {}^{0}$

$= 0$

$16 { \frac{ - 1}{4} }^{} × \sqrt[4]{16} = 1$

#SP J2