Question

What is the simplest

Answer 1

(c) x³·∛x

Explanation:

You want the simplified form of ∛(x¹⁰).

Cube roots

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

`\sqrt[3]{x^(10)}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}`

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