Question

Which of the following is equivalent to (16^3/2)^1/2

Answer 1

16 ^ 1.5 (or 3/2) = 64
64 ^ 0.5 (or 1/2) = 8
8 should be your answer

Answer 2

Answer: 8 is the equivalent to the given expression.

Step-by-step explanation:Here, the given expression is
`(16^(3/2))^(1/2)`

Since, we can write,
`(16^(3/2))^(1/2)= 16^(3/4)`

⇒
`(16^(3/2))^(1/2)= (16^(1/4))^3`

⇒
`(16^(3/2))^(1/2)= ((2^4)^(1/4))^3`

⇒
`(16^(3/2))^(1/2)= 2^3`=8 (Because
`(a^m)^n=a^(mn)`)