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

1 Answer
Mar 5, 2018

Answer:

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)#