Question

$evaluate : (2 {}^{4} ) {}^{ \frac{3}{4} } + (3 {}^{5} ) {}^{ \frac{2}{5} }$
answer me fast ​

Answer 1

$\huge\star\boxed{\mathfrak\pink{\underline{\underline{Answer}}}}\star$

$\textbf{\:\:\:\:\:\:\:\:17}$

$\huge\star\star\boxed{\mathbb\red{\underline{\underline{GIVEN}}}}\star\star$

$\odot\:\:\textbf{ (2^4)^{\dfrac{3}{4}}\:+\:(3^5)^{\dfrac{3}{5}} }$

$\huge\star\star\star\boxed{\mathbb\green{\underline{\underline{TO\: CALCULATE}}}}\star\star\star$

$\odot\:\:\textbf{Sum\:of\:the\:above\:given\:equation}$

$\huge\star\star\star\star\boxed{\mathcal\red{\underline{\underline{Explanation}}}}\star\star\star\star$

$\Longrightarrow\textsf{ (2)^{\dfrac{3}{4}\:\times\:\huge{4}}+(3)^{\dfrac{2}{5}\:\times\:\huge{5}} }$

$\textsf{Cancelling 4 and 5 from power, we get}$

$\Longrightarrow\textsf{ 2^3+3^2 }$

$\Longrightarrow\textsf{ 8+9 }$

$\Longrightarrow\textbf{17}$

$\therefore\textbf{The\:Answer\:is\:17}$

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