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Expressing Numbers as Exponents

Find the valu...

Question

Find the value of $m$ , such that $(- 2^{m})^{6} = (- 2)^{60}$

- 10

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6

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10

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- 6

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Solution

The correct option is C $10$
$(- 2^{m})^{6} = (- 2)^{6 m}$
We know that, $(- 2)^{6 m} = (- 2)^{60}$
$∴ 6 m = 60$
$∴ m = 10$
So, option $C$ is correct.

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