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NCERT Exemplar Solutions Class 8 Mathematics Solutions for Exponents and Powers - Exercise in Chapter 8 - Exponents and Powers

Question 23 Exponents and Powers - Exercise

\text { The value of }\left(7^{-1}-8^{-1}\right)^{-1}-\left(3^{-1}-4^{-1}\right)^{-1} \text {is: }

(a) 44 (b) 56 (c) 68 (d) 12

Answer:

\begin{aligned} &\text { (a) } 44\\ &\text { Explanation: }\left(7^{-1}-8^{-1}\right)^{-1}-\left(3^{-1}-4^{-1}\right)^{-1}\\ &=(1 / 7-1 / 8)^{-1}-(1 / 3-1 / 4)^{-1}\\ &=(1 / 56)^{-1}-(1 / 12)^{-1}\\ &=56-12=44 \end{aligned}

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