Question

what will be answer of this question with explanation
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Answer 1

Answer:

${256}^{0.16} \times {256}^{0.09}$

Using the identity

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${256}^{0.16 + 0.09} \\ = {256}^{0.25} = {256}^{ \frac{25}{100} } \\ ({4}^{4} ) ^{ \frac{1}{4} }$

Using the identity

$({a}^{m} ) ^{n} = {a}^{m \times n}$

that is

${4}^{4 \times \frac{1}{4} } \\ {4}^{1} \\ 4$

therefore the answer is Option A) 4