Exponent and Expression

Question

The students were asked to find a number that could replace the variable.

(X^3)^0 = X^5 * X^N

A. Jennifer said the variable should be replaced by 0.
B. John said the variable should be replacd by 1.
C. Joe said the variable should be replaced by -5.
D. Mary said the question was impossible to answer.
Who is Correct. Explain Why? 

Answer 1

(X³)⁰ = (X⁵)(X^N)

1 = X^5+N

 

5 + N = 0

N = -5