Question

Which expression is equivalent to (x^1/2y^-1/4z)^-2

Answer 1

`√(y)` ÷ xz²

Explanation:

multiply the exponent of 'x' by -2 to get -1

multiply the exponent of 'y' by -2 to get 1/2

multiply the exponent of 'z' by -2 to get -2

= (x^-1)(y^1/2)(z^-2)

= 1/x ·
`√(y)` · 1/z²

=
`√(y)` / xz²