To what exponent should 16 be raised to get the desired result as 4?

\frac{1}{2}

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\frac{1}{3}

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Solution

The correct option is A $\frac{1}{2}$
$16^{?} = 4$
$(4^{2})^{?} = 4$
Powers will get multiplied
$4^{2 \times ?} = 4$
$4^{2 \times ?} = 4^{1}$
Base is 4 so we can equate the powers of exponential equation
Hence, $2 \times ? = 1$
$? = \frac{1}{2}$

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