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Powers with Negative Exponents

Express 16-...

Question

Express $16^{- 2}$ as a power with base $4$

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Solution

We know that $16 = 4^{2}$
$∴ 16^{- 2} = (4^{2})^{- 2}$
$= 4^{2 \times - 2}$
$= 4^{- 4}$

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