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Find the value of (2^4+2^3)^(2//6)...

Find the value of `(2^4+2^3)^(2//6)`

A

`8(2)^(1//2)`

B

`2(3)^(1//3)`

C

`64(2)^(1//2)`

D

`4(3)^(1//3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given ,
`(2^4+2^3)^(2)/(6)`
`=(2^4+2^3)^(1)/(3)=[2^3(2+1)]^(1//3)`
`=2^(3//3)(3)^(1//3)=2(3)^(1//3)`
Hence, the correct options is (b) .
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