Question

Simplest radical form 1/x ^ -3/6

Can someone please explain their work or show it?

Answer 1

`√(x)`

Explanation:

using the rules of exponents/ radicals

•
`(1)/(a^(-m) )` =
`a^(m)`

•
`a^{(1)/(2) }` =
`√(a)`

given

`\frac{1}{x^{-(3)/(6) } }`

=
`x^{(3)/(6) }` ( simplify fractional exponent )

=
`x^{(1)/(2) }`

=
`√(x)`