Change this radical to an algebraic expression with fractional exponents. 5√(x^3)

Question

Change this radical to an algebraic expression with fractional exponents.


`5√(x^3)`

Answer 1

Rational exponents

`a^(m)/(n)`

work like this: the numerator is the actual exponent of the base, while the denominator is the index of the root.

In other words, we have

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

So, in you case, we have

`\sqrt[5]{x^3}=x^(3)/(5)`

Assuming that the question contanis a typo. If you actually mean
`5√(x^3)`,

then you can write it as
`5x^(1)/(3)`