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Product Law of Exponent

Question 19In...

Question

Question 19

In the following question, out of the four options, only one is correct. Write the correct answer:

${(\frac{- 7}{5})}^{- 1}$ is equal to:
(a) $\frac{5}{7}$
(b) - $\frac{5}{7}$
(c) $\frac{7}{5}$
(d) $\frac{- 7}{5}$

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Solution

Using law of exponents, $a^{- n} = \frac{1}{a^{m}} ∴ {(\frac{- 7}{5})}^{- 1} = \frac{1}{(\frac{- 7}{5})} = (- \frac{5}{7})$

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