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dsp73
2 years ago
15

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
Mathematics
1 answer:
SVEN [57.7K]2 years ago
5 0

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}}

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