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

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Answer 1 · 2018-07-04T20:11:07

Simplifying this root gives us $x^4$

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.

Answer 2 · 2018-07-04T20:19:25

$x^4$

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!

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