Question

How do you write `root3x^2` as an exponential form?

Answer 1

This can be written as `x^(2/3)`. See explanation.

Explanation:

The general rule of rewriting power expressiobs states that:

`x^(-a/b)=1/root(b)(x^a)`

The expression in the example has no fractions, so the exponent will be positive. The degree of the root (here `3`) becomes the denominator of the exponent, and the power (here `2`) is the numerator.

So finally:

`root(3)(x)^2=x^(2/3)`