Which of the following can also be represented as $(- 5)^{- 1}$ ?

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

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

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

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

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Solution

The correct option is B $(- 5)^{- 3} \times (- 5)^{2}$
$(- 5)^{- 3} \times (- 5)^{2} = (- 5)^{- 3 + 2} = (- 5)^{- 1}$ .
So, option $B$ is correct.

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