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# Which of the following represents 3 x to the 5 sevenths power in radical form?

**Solution:**

The radical of a number is the same as the root of a number, and we will learn more about the radical formula as we go along.

The root can be a square root, cube root, or in general, n^{th} root.

Thus, any number or expression that uses a root is known as a radical.

An equation that is inside a radical is known as a radical equation.

An expression that lies inside a square root is known as a radical expression.

An inequation that is inside a radical is known as radical inequality

It is given that

3 x to the 5 sevenths power

We can write it as 3x^{5/7}

Using the formula

\(\\x^{a/b}=\sqrt[b]{x^{a}} \\ \\Here \\ \\x^{5/7}=\sqrt[7]{x^{5}} \\ \\So\: we\: get \\ \\3x^{5/7}=3\sqrt[7]{x^{5}}\)

Therefore, \(3\sqrt[7]{x^{5}}\) represents 3 x to the 5 sevenths power in radical form.

# Which of the following represents 3 x to the 5 sevenths power in radical form?

**Summary:**

\(3\sqrt[7]{x^{5}}\) represents 3 x to the 5 sevenths power in radical form.

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