Express 4^ -3 as a power with the base 2. - Vidyadip

Question

Express $4^{-3}$ as a power with the base $2$.

✓

Answer

We have, $4 = 2 × 2 = 2^{2}$
Therefore, $(4)^{-3}= (2^2)^{-3}= 2^2$ $\times$$(– 3)$
[because $(am)n= an$$\times$$m$ ]
$= 2^{-6}$

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