Question

What is an equivalent expression for 1/y^-1/4 using positive exponents

Answer 1

y^(1/4)..............................

Answer 2

Equivalent expression
`y^{(1)/(4)}`.

Explanation:

Given :
`\frac{1}{y^({(-1)/(4))}}`.

To find: What is an equivalent expression.

Solution: We have given that
`\frac{1}{y^({(-1)/(4))}}`

By using exponential rule :
`(1)/(x^(-m) ) = x^(m)`

On applying

`\frac{1}{y^({(-1)/(4))}}` =
`y^{(1)/(4)}`.

Therefore, equivalent expression
`y^{(1)/(4)}`.