Question

$Find the value of (343)^-2/3$

Answer 1

$\huge{\mathfrak{\purple{Question}}}$

$Find the value of (343)^-2/3$

$\huge{\mathfrak{\purple{Answer}}}$

(343)32

=(73)32

=(7)32×3

=72

=49

#hopeithelps :)

Answer 2

$\huge✎\fbox \orange{QUE} ST \fbox\green{ION}☟$

$\huge\blue{343^{-2/3}}$

$\huge✍︎\fbox\orange{ÂŇ}\fbox{SW} \fbox\green{ÊŘ}:$

$\red{(343)^{-2/3}} \orange= \purple {({7}^{3})^{-2/3} }$

$\orange = \pink{(7)^{3 \times ( \frac{ - 2}{3} )} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [ \because(a^{m})^{n} = a^{mn} ]$

$\orange = \blue{{7}^{ - 2} = \frac{1}{ {7}^{2} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [\because {a}^{ - m} = \frac{1}{ {a}^{m} } ]$

$\orange = \green{\frac{1}{49} }$

$\footnotesize\bold\red{\overbrace{\underbrace \mathbb\blue{Please \: Mark \: As \: The \: Brainliest\: If\: It\: Satisfied\:You}}}$

꧁Hopes so that this will help you,꧂

♥️With Love♥️

✌︎Thanking you, your one of the Brother of your 130 Crore Indian Brothers and Sisters.✌︎

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀PŘÎ᭄ŇCĒ✿》࿐}}}}}}}}}}}}}}$

$\large\red{\underbrace{\overbrace\mathbb{\colorbox{aqua}{\colorbox{blue}{\colorbox{purple}{\colorbox{pink}{\colorbox{green}{\colorbox{gold}{\colorbox{silver}{\textit{\purple{\underline{\red{《❀FÔLLÔW✿》࿐}}}}}}}}}}}}}}$