Answer:
[tex]n=-14[/tex]
Step-by-step explanation:
The given expression is
[tex](x^3)(x^{-17})=x^n[/tex]
Recall that; [tex]a^m\times a^n=a^{m+n}[/tex]
We apply this property to the left hand side to obtain;
[tex]x^{3+-17}=x^n[/tex]
This simplifies to;
[tex]x^{3-17}=x^n[/tex]
[tex]x^{-14}=x^n[/tex]
Since the bases are the same; the exponents are also the same.
[tex]\therefore n=-14[/tex]
