Question

Type the expression as a radical.

Answer 1

`\sqrt[5]{ {y}^(3) }`

Explanation:

When converting an expression with a fractional exponent to its radical form, the base number goes inside the radical(which means it becomes the radicand) along with the numerator(which remains an exponent). Whereas the denominator of the exponent becomes the index, or what dictates whether the radical is a square root, cube root, etc.

EX:

`{y}^{ (a)/(m) } = \sqrt[m]{ {y}^(a) }`

Answer 2

Explanation:

in a fraction as exponent the numerator defines the pure exponent of the base, and the denominator gives the degree of root of the base.

so, this is

`\sqrt[5]{y^(3) }`