Question

Simplify by using fractional exponents.

Answer 1

`\sqrt[3]{x^2} = x^(2)/(3)`

Explanation:

The base, x, remains the base.

The index of the root, the 3, is the denominator of the exponent.

The exponent of x, the 2, is the numerator of the exponent.

Rule:

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

`\sqrt[3]{x^2} = x^(2)/(3)`

Answer 2

Explanation:

`\sqrt[3]{x^2}=(x^2)^{(1)/(3)}=x^{(2)/(3)}`