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Simplify: 4/((216)^(-2/3))+1/((256)^(-3/...

Simplify: `4/((216)^(-2/3))+1/((256)^(-3/4))+2/((243)^(-1/5))`

A

214

B

215

C

216

D

217

Text Solution

Verified by Experts

The correct Answer is:
A
`4/((216)^(-3/4))+1/((257)^(-3/4))+2/((243)^(-1/5.))`
`4/((6^(3))^(-2/3))+1/((16^(2))^(-3/4))+2/((3^(5))^(-1/5))`
`4/(6^(3xx(-2/3)))+1/(16^(2xx(-3/4)))+2/((3^(5))^(-1/5))`
`4/(6^(2))+1/(16^(-3/2))+2/(3^(-1))`
`4xx6^(2)+16^(3/4)+2xx3^(1)`
`4xx36+((4)^(2))^(3//2)+2xx3^(1)`
`4xx36+4^(3)+6`
`144+64+6=214`
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