Question

Write the equation using a fractional exponentle="\sqrt[3]{x}2" alt="\sqrt[3]{x}2" align="absmiddle" class="latex-formula">

Answer 1

Answer:

The equation using a fractional exponent $\sqrt[3]{x^{2}}$ is $x^{\frac{2}{3}}$

Solution:

Given, term is cube root of x square

In numerical terms cube root of x square can be written as ⇒ cube root of $x^{2} \rightarrow \sqrt[3]{x^{2}}$

We have to write the expression for above given term in the form of fractional exponent of x.

In $\sqrt[3]{x^{2}}$ , cube root is written in fractional form

$\rightarrow\left(x^{2}\right)^{\frac{1}{3}}$

Now, powers are multiplied

$\rightarrow x^{2 \times \frac{1}{3}}$

$\rightarrow x^{\frac{2}{3}}$

Finally x is in power of a fraction, so we got the required answer