Question

{(4)^-1-(5)^-1]^2×5/8^-1

Answer 1

Solution:

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$[(4)^-^1 - (5)^{-1}]^{2} \times \ (\frac{5}{8} )^{-1}\\\\ = (\frac{1}{4} - \frac{1}{5} )^{2} \times \frac{8}{5} \\\\ = (\frac{1}{20}) ^{2} \times \frac{8}{5} \\\\ = (\frac{1}{20})^2 \times \frac{8}{5}\\\\ = \frac{1}{400} \times \frac{8}{5} \\\\ = \frac{1}{250} \ \ .............(Ans)$

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