Question

Simplify and express the answers with positive indices.

ⓟⓛⓔⓐⓢⓔ ⓖⓘⓥⓔ
ⓐⓝⓢⓦⓔⓡ

ⓐⓝⓢⓦⓔⓡ ⓖⓘⓥⓔⓝ
ⓘⓝ ⓑⓞⓞⓚ ⓘⓢ
$\frac{1}{ {x}^{2} }$
ⓝⓞ ⓢⓟⓐⓜ ⓟⓛⓩⓩ​

Answer 1

Answer:

$\frac{1}{x^2}$

Step-by-step explanation:

$[ \sqrt[4]{(\frac{1}{x})^{-12}} ]^{\frac{-2}{3}}$

$=[ \sqrt[4]{(x^{12}} ]^{\frac{-2}{3}}$

$={(x^{12/4}) ^{\frac{-2}{3}}$

$={(x^{3}) ^{\frac{-2}{3}}$

$={(x)^{\frac{-2\times 3}{3}}$

= $x^{-2}$

=$\frac{1}{x^2}$