Question

$\sqrt[4]{} 16^{-2}$

Answer 1

1. Use this rule: {({x}^{a})}^{b}={x}^{ab}(xa)b=xab.

{16}^{\frac{2}{4}

2. Simplify  \frac{2}{4}42  to  \frac{1}{2}21.

{16}^{\frac{1}{2}

3. Convert {16}^{\frac{1}{2}}1621 to square root.

\sqrt{16}√16

4 . Since 4\times 4=164×4=16,

the square root of 16 is 4

4