Which of the expression below is equivalent to the following expression 5 square root of (n +4)^3? Choose the correct answer and show your work.

a) (n + 4) ^5
b) (n + 4) 1/5
c) (n + 4) 5/3
d) (n + 4)3/5

The expression 5 square root of (n +4)^3 can be simplified by breaking up the exponent and square root.

First, let's rewrite the expression as 5 * (n + 4)^ (3/2).

To find an equivalent expression, we need to multiply the exponent of (n + 4) by 5/3.

So the correct answer is (n + 4)^(3/2) * (5/3).

Therefore, the correct answer is c) (n + 4) 5/3.