Question

What is the simplified form of the following expression? Assume x not-equals 0. RootIndex 5 StartRoot StartFraction 10 x Over 3 x cubed EndFraction EndRoot

Answer 1

Answer:

  $\dfrac{\sqrt[5]{810x^3}}{3x}$

Step-by-step explanation:

As a rule, the "simplified form" means there are no fractions under a radical.

  $\sqrt[5]{\dfrac{10x}{3x^3}}=\sqrt[5]{\dfrac{10x(3^4x^2)}{3x^3(3^4x^2)}}=\sqrt[5]{\dfrac{810x^3}{(3x)^5}}=\boxed{\dfrac{\sqrt[5]{810x^3}}{3x}}$