Question

How do you simplify `sqrt(x^13)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`sqrt(x^12 * x)`

Now, use this rule for exponents to get to the simplification:

`sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))`

`sqrt(color(red)(x^12) * color(blue)(x)) => sqrt(color(red)(x^12)) * sqrt(color(blue)(x)) => x^6sqrt(x)`