Simplify, giving Solution with positive index 2^ 4 a 2^ 3 a 2^ -a - Vidyadip

Question

Simplify, giving Solution with positive index
$2^{4 \mathrm{a}} \cdot 2^{3 \mathrm{a}} \cdot 2^{-\mathrm{a}}$

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Answer

$\begin{aligned} & 2^{4 \mathrm{a}+3 \mathrm{a}-\mathrm{a}} \\ & =2^{7 \mathrm{a}-\mathrm{a}}=2^{6 \mathrm{a}}\end{aligned}$

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