Question

Write the equation using a fractional exponent

`\sqrt[3]{x}2`

Answer 1

The equation using a fractional exponent
`\sqrt[3]{x^(2)}` is
`x^{(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)^{(1)/(3)}`

Now, powers are multiplied

`\rightarrow x^{2 * (1)/(3)}`

`\rightarrow x^{(2)/(3)}`

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