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Q.4. Find the value of ${[\frac{x^{- 4}}{x^{- 10}}]}^{5 / 4}$

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We have {(\frac{x^{- 4}}{x^{- 10}})}^{\frac{5}{4}} = {(x^{- 4 - (- 10)})}^{\frac{5}{4}} = {(x^{- 4 + 10})}^{\frac{5}{4}} = {(x^{6})}^{\frac{5}{4}} = x^{6 \times \frac{5}{4}} = x^{\frac{15}{2}} Note : \frac{a^{n}}{a^{m}} = a^{n - m} {(a^{n})}^{m} = a^{nm}

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