2^2/3·2^1/3 amp;= 2^2/3 + 1/3 ∵[a^m· a^n=a^m+n] amp; = 2^2 + 1/3 amp; = 2^3/3 amp;= 2^1 amp; = 2 ...

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Exponents with Like Bases

Simplify 22/...

Question

Simplify
$2^{\frac{2}{3}} . 2^{\frac{1}{3}}$

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Solution

$\begin{matrix} 2^{\frac{2}{3}} \cdot 2^{\frac{1}{3}} & = 2^{\frac{2}{3} + \frac{1}{3}} ∵ [a^{m} \cdot a^{n} = a^{m + n}] = 2^{\frac{2 + 1}{3}} = 2^{\frac{3}{3}} = 2^{1} = 2 \end{matrix}$

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