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

Question

12809 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-05T02:38:05

See a solution process below:

First, rewrite the expression as:

$sqrt(x^12 * x)$

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

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

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

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