Express 16^ -2 as a power with the base 2. - Vidyadip

Question

Express $16^{-2}$ as a power with the base $2.$

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Answer

$\because$ $2 × 2 × 2 × 2 = 16 = 2^4$
$\because$ $16^{-2}= (2^4)^{-2}= (2)^{4\times {(-2)}}$
[$\because$ $(a^m)^n= (a)^{mn}] = (2)^{-8}$

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