Israel Young

2023-03-19

The value of $(243{)}^{-\frac{2}{5}}$ is _______.

A)9

B)$\frac{1}{9}$

C)$\frac{1}{3}$

D)0

A)9

B)$\frac{1}{9}$

C)$\frac{1}{3}$

D)0

recafelitbraj

Beginner2023-03-20Added 5 answers

The correct answer is B) $\frac{1}{9}$

$(243{)}^{-\frac{2}{5}}$

$=({3}^{5}{)}^{-\frac{2}{5}}$

$=(3{)}^{-2}[({a}^{b}{)}^{m}={a}^{bm}]$

$=\frac{1}{{3}^{2}}$

$=\frac{1}{9}$

The value of $(243{)}^{-\frac{2}{5}}$ is $\frac{1}{9}$.

$(243{)}^{-\frac{2}{5}}$

$=({3}^{5}{)}^{-\frac{2}{5}}$

$=(3{)}^{-2}[({a}^{b}{)}^{m}={a}^{bm}]$

$=\frac{1}{{3}^{2}}$

$=\frac{1}{9}$

The value of $(243{)}^{-\frac{2}{5}}$ is $\frac{1}{9}$.

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