simplify this

Question

square root of x¹⁰y⁶

Answer 1

Brandi,

 

To simplify  √x¹⁰y⁶ think of the following: what do you put inside of ( )² so you get x¹⁰. Similarly, what do you put inside of ( )² so you get y⁶. What you put inside of each parentheses will be the square root of x¹⁰y⁶.

 

I hope this helps.

Answer 2

Taking the square root means that you are raising the base to the 1/2 power.  With power to a power rule, you multiply the exponents.

 

(x¹⁰y⁶)^1/2 = x⁵y³ if they tell you to assume that the variables represent positive numbers.

 

Otherwise it would be | x⁵y³|.