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 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

Answer 1

c

Explanation:

Answer 2

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