Math, asked by mithiladevi693pc5bo1, 1 year ago

[(4)^-1-(5)^-1]^2×(5/8)^-1

Answers

Answered by DeeptiMohanty

hope this helps you...

Attachments:

DeeptiMohanty: how check my question....is it right

mithiladevi693pc5bo1: You are right but answer is 2/25 in book

DeeptiMohanty: okk i m trying again

mithiladevi693pc5bo1: Ok

DeeptiMohanty: i cant understand where is my mistake

mithiladevi693pc5bo1: I am also confused because my ans is same your ans.

Simplebeing: There might be mistake in the ques printing!

mithiladevi693pc5bo1: Yes i agree with you, thanks

Simplebeing: ok

DeeptiMohanty: yes printing mistake

Answered by Simplebeing

Solution:

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$[(4)^-^1 - (5)^{-1}]^{2} \times \ (\frac{5}{8} )^{-1}\\\\ Convert \ negative \ exponents \ to \ positive \ exponents ( a^{-n} = \frac{a}{n}) \\\\ = (\frac{1}{4} - \frac{1}{5} )^{2} \times \frac{8}{5} \\\\ = (\frac{1}{20}) ^{2} \times \frac{8}{5} \\\\ = (\frac{1}{20})^2 \times \frac{8}{5}\\\\ = \frac{1}{400} \times \frac{8}{5} \\\\ = \frac{1}{250} \ \ .............(Ans)$

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