Simplify the radical expression

Question

Simplify the radical expression. Assume the variable is unrestricted.
4√(m + 4)^24

 

fourth root of (m+4)^24

Answer 1

Taking the fourth root is like taking the number to the 1/4 power.

 

So this is ((m + 4)²⁴) ^(1/4)

 

When you take a power to a power, you multiply the powers together.  1/4 of 24 is 6, so the answer is:

 

(m + 4)⁶