How do you simplify #root4(x^16)#?

2 Answers
Jul 4, 2018

Answer:

Simplifying this root gives us #x^4#

Explanation:

So you can think of this as how many group of 4 can make 16.

So what gives us #x^16#? The answer is 4 because 4 x 4 = 16.

Jul 4, 2018

Answer:

#x^4#

Explanation:

We can rewrite the monomial under the radical

#(x^4)^4#, which allows us to rewrite the entire expression as

#rootcolor(blue)(4)((x^4)^color(blue)(4))#

The fourth root cancels with the fourth power, and we're left with

#x^4#

Hope this helps!