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Question
Compute:
`(27)^(2/3)÷(81/16)^(-1/4)`
Sum
Solution
`(27)^(2/3)÷(81/16)^(-1/4)=(3^3)^(2/3)÷(3^4/2^4)^(-1/4)`
`=3^(3xx2/3)÷3^(-1/4xx4)/2^(-1/4xx4)=3^2÷3^-1/2^-1`
`=3^2xx2^-1/3^-1`
`=3^(2+1)xx2^-1=3^3xx1/2^+1`
`=(3xx3xx3)/2=27/2=13 1/2`
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