Question
Simplify : $2^{\frac{2}{3}} \cdot 2^{\frac{1}{5}}$
$2^{\frac{2}{3}} \cdot 2^{\frac{1}{5}}=2^{\frac{2}{3}+\frac{1}{5}}$ {by $a^{m} \cdot a^{n}=a^{(m+n)}$}
$2^{\frac{2}{3}} \cdot 2^{\frac{1}{5}}=2^{\left(\frac{2 \times 5+1 \times 3}{15}\right)}$$=2^{\frac{13}{15}}$
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