Answer:
[tex]x^{-3}.x^7=x^{4}[/tex]
Step-by-step explanation:
Given expression:
[tex]x^{-3}.x^7[/tex]
We need to evaluate the given expression.
Solution:
We will use the properties of exponents to evaluate it.
By product rule:
[tex]a^b.a^c=a^{b+c}[/tex]
We have: [tex]x^{-3}.x^7[/tex]
Using product rule to multiply the terms.
⇒ [tex]x^{(-3+7)}[/tex]
⇒ [tex]x^{4}[/tex] (Answer)