(23)−5×(57)−5 is equal to

(23)−5×(57)−5=(23×57)−5 (∵am×bm=(a×b)m)

(23)−5×(57)−5 is equal to

(23)−5×(57)−5=(23×57)−5 (∵am×bm=(a×b)m)

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${(\frac{2}{3})}^{- 5} \times {(\frac{5}{7})}^{- 5}$ is equal to

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{(\frac{2}{3} \times \frac{5}{7})}^{- 10}

{(\frac{2}{3} \times \frac{5}{7})}^{- 5}

{(\frac{2}{3} \times \frac{5}{7})}^{25}

{(\frac{2}{3} \times \frac{5}{7})}^{- 25}

answer is B.

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Detailed Solution

{(\frac{2}{3})}^{- 5} \times {(\frac{5}{7})}^{- 5} = {(\frac{2}{3} \times \frac{5}{7})}^{- 5}

(∵ a^{m} \times b^{m} = {(a \times b)}^{m})

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(23)−5×(57)−5 is equal to

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${(\frac{2}{3})}^{- 5} \times {(\frac{5}{7})}^{- 5}$ is equal to