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 shou ldbe 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
remember
x^0=1
also
\((x^n)(x^m)=x^{n+m}\)
and
if \(a^n=a^m\) where a=a, then assume that n=m
so
\((x^3)^0=(x^5)(x^n)\)
1=\(x^{5+n}\)
we know that x^0=1
therefor
\(x^0=x^{5+n}\)
x^0=x^(5+n) therefor
0=5+n
minus 5 from both sides
-5=n
I can't solve for x since it will be eliminated
n=-5
Joes is correct because of maths
C is answer