Question

Simplify open parentheses x to the 1 fourth power close parentheses to the 4 ninths power

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

TO EVALUATE

$\displaystyle \sf{ { \bigg( \: {x}^{ \frac{1}{4} } \bigg)}^{ \frac{4}{9} } \: }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula of indices that

$\sf{ {({a}^{m})}^{n} = {a}^{mn} \: }$

EVALUATION

$\displaystyle \sf{ { \bigg( \: {x}^{ \frac{1}{4} } \bigg)}^{ \frac{4}{9} } \: }$

$= \displaystyle \sf{ { x }^{ ( \frac{1}{4} \times \frac{4}{9} )} \: }$

$= \displaystyle \sf{ { x }^{ \frac{1}{9} } \: }$

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

If 2^(x+3) + 2^(x – 4) =129, then find the value of x.

https://brainly.in/question/23183505