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Find the value of (3^4+3^5)^(3//4)....

Find the value of `(3^4+3^5)^(3//4)`.

A

27

B

`27(2)^(3//2)`

C

`2^(3//2)`

D

729

Text Solution

Verified by Experts

The correct Answer is:
B
`(3^4+3^5)^(3//4)`
`=[3^4(3+1)]^(3//4)=[3^4xx4]^(3//4)=3^3xx4^(3//4)`
`27xx(2^2)^(3//4)=27(2)^(3//2)`
Hence the correct option is (b).
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