How do you simplify #sqrt(300x^11y^5)#?

1 Answer
Dec 22, 2016

Answer:

#300^(1/2)x^(11/2)y^(5/2)#

Explanation:

#sqrt(300x^11y^5)# can be rewritten as:

#(300x^11y^5)^(1/2)#

We can now use the following exponent rule to simplify this expression:

#color(red)((x^a)^b = x^(a*b))#

#(300^(1/2)x^(11 * 1/2)y^(5 * 1/2))#

#300^(1/2)x^(11/2)y^(5/2)#