Write the equation equivalent to (√(a-2) )^5 A) (a-2) (2)/(5) B) (a-2)(5)/(1) C) (a-2)(1)/(5) D) (a-2)(5)/(2)

Question

Write the equation equivalent to
`(√(a-2) )^5`

A)
`(a-2) (2)/(5)`
B)
`(a-2)(5)/(1)`
C)
`(a-2)(1)/(5)`
D)
`(a-2)(5)/(2)`

Answer 1

`\mathsf{Given : (√(a - 2))^5}\\\\\mathsf{\implies [(a - 2)^(1)/(2)]^5}\\\\\mathsf{\implies (a - 2)^(5)/(2)}\\ \\\mathsf{\implies Option\;(D)\;is\;the\;Answer}`