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Power of a Power

Question 93So...

Question

Question 93

Solve the following:

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

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Solution

$∵ 2 \times 2 \times 2 \times 2 = 16 = 2^{4} ∴ 16^{- 2} = (2^{4})^{- 2} = (2)^{4 \times (- 2)} = (2)^{- 8}$

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as a power with the base 2.

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Power of a Power

Standard VIII Mathematics

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