Question

step by step explanation needed
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Answer 1

$\huge \star \; \bf \underbrace {ANSWER} \: \star$

‣ Given :

$\sf {a^{\frac{1}{3}} ÷ a^{\frac{-2}{3}}}$

‣ To Find :

$\textsf {Simplest form}$

‣ Identity Used :

$\longrightarrow$ $\sf { {a}^{m} ÷ {a}^{n} = {a}^{m-n}}$

‣ Solution :

⇒$\sf {a^{\frac{1}{3}} ÷ a^{\frac{-2}{3}}}$

$\sf {= a^{\frac{1}{3} - (\frac{-2}{3})}}$

$\sf {= a^{\frac{1}{3} + \frac{2}{3}}}$

$\sf {= a^{\frac{3}{3}}}$

$\sf {= a^{1}}$

$\sf {= a}$

$\implies \textsf {\underline {Hence, the answer is 'a'. }}$

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