Question

How do you express `4sqrt(x^2)` with fractional exponents?

Answer 1

`4*(x^2)^(1/2)`

Explanation:

The actual answer is just `4x` when simplified.

When something is squared then you write it as to the power of `1/2`. You can also write any root to the power of a fraction.

For example, `sqrt(3^3)` would be written as `(3^3)^(1/2)`. When writing the root of a number that is already raised to another power, for example `root(5)(3^3)` then it can be written as `3^(3/5)`. The denominator of the fraction is the root and the numerator is the power the number is raised to.

Hope this helps!