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Evaluate the following (i) (3sqrt64)^...

Evaluate the following
(i) `(3sqrt64)^((-1)/2)" "(ii) (121/169)^(-3//2)`

Text Solution

Verified by Experts

(i) `(3sqrt64)^((-1)/2)=[(64)^(1/3)]^((-1)/2)=(64)^(1/3xx(-1)/2)=(64)^((-1)/6)`
`=(2^(6))^((-1)/6)=2^(6xx((-1)/6))=2^(-1)=1/2`
(ii) `((11xx11)/(13xx13))^(-3//2)=(11^(2)/13^(2))^(-3//2)=(11/13)^(2xx(-3)/2)=(11/13)^(-3)=(11/13)^(3)=2197/1331`
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