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Question
Evaluate : `4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
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Solution
`4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
= `4/(6^3)^(-2/3) + 1/(4^4)^(-3/4) + 2/(3^5)^(-1/5)`
= `4/(6)^-2 + 1/(4)^-3 + 2/(3)^-1`
= 4 x 62 + 1 x 43 + 2 x 3
= 4 x 36 + 1 x 64 + 6
= 144 + 64 + 6
= 214
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