Value of ${(256)}^{0.16} \times {(256)}^{0.09}$ is

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none of these

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Solution

The correct option is B
4

$\begin{matrix} {(256)}^{0.16} \times (256)^{0.09} = {(256)}^{0.16 + 0.09} = {(2^{8})}^{0.25} = 2^{(8 \times 0.25)} = 2^{2} = 4. \end{matrix}$

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