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Question
Evaluate: `[(5/6)^2 xx 9/4] div [(- 3^2/2) xx 125/216]`
Sum
Solution
`[(5/6)^2 xx 9/4] div [(- 3^2/2) xx 125/216]`
`= [(5 xx 5)/(6 xx 6) xx 9/4] div [(-3 xx -3)/(2 xx 2) xx 125/216]`
`= [25/36 xx 9/4] div [9/4 xx 125/216]`
`= [25/4 xx 1/4] div [1/4 xx 125/24]`
`= [25/16] div [125/96]`
`= 25/16 xx 96/125`
`= 1/1 xx 6/5 = 1 1/5`
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Concept for Application of Laws of Exponents in Simple Daily Life Problems
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