Question

Please help! Identify which of the following is not equivalent to a1/4

Answers (images below)
no links please!

Answer 1

Answer: B

Explanation:

A)
`a^(3)/(4)`÷
`a^(1)/(2)` cannot be the answer. When a to the power of x is divided by a to the power of y it is a to the power of x-y. Ex:
`a^x`÷
`a^y=a^x^-^y`

So 3/4-1/2 is 1/4 giving us
`a^{(1)/(4) }`

B is the answer because taking the square root of a is the same as
`a^(1)/(2)` which isn't the same as
`a^(1)/(4)`

C is not the answer because when a to the power of x is multiplied by a to the power of y it is a to the power of x+y. Ex:
`a^x`·
`a^y`=
`a^(x+y)`

1/8+1/8=1/4 so it is
`a^(1)/(4)`

D can't be the answer.
`a^(1)/(8)` squared is the same as
`a^(1)/(8)`·
`a^(1)/(8)` so the same explanation of c applies to d