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Question

Find the value of `{ (16)^(3/2) + (16)^(- 3/2)}`


Options:
A .  `4097/64`
B .  `4054/54`
C .  `3486/74`
D .  `4097/64`
Answer: Option D

Sol .      `[(16)^(3/2) + (16)^(- 3/2)`

              =  `[(4^2)^(3/2) + (4^2)^(- 3/2)`

               = ` 4^(2 xx 3/2) + 4^( 2 xx (-3)/2)`

               =` 4^3 + 4^-3`

               = `4^3 + 1/4^3`   =` 64 + 1/64`

                 =` 4097/64`




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