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Question
Evaluate: `2^5 xx 15^0 + (-3)^3 - (2/7)^-2`
Sum
Solution
`2^5 xx 15^0 + (-3)^3 - (2/7)^-2`
`= 2 xx 2 xx 2 xx 2 xx 2 xx 1 + (-3) xx (-3) xx (-3) - (7/2) xx (7/2)`
`= 32 xx 1 - 27 - 49/4` (∵ a0 = 1)
`= (32 xx 4)/(1 xx 4) - (27 xx 4)/(1 xx 4) - 49/(4 xx 1)` (∵ LCM = 4)
`= (128-108-49)//4 = -29/4 = - 7 1/4`
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Concept for Application of Laws of Exponents in Simple Daily Life Problems
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