State whether true or false:
If $256 = 16^{n}$ then $n = 2$ .

True

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False

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Solution

The correct option is A True
$256 = 16^{n}$
$2^{8} = (2^{4})^{n}$
$2^{8} = 2^{4 n}$
Comparing Power, we have:
$8 = 4 n$
$n = \frac{8}{4}$
$n = 2$
Thus the above expression is True.

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