Answer:
The result of the division is [tex]x^{-6}[/tex]
Step-by-step explanation:
Division of two terms with same base and different exponents:
When we divide two terms with the same base, but with different exponents, we keep the base and subtract the exponents.
In this question:
We divide [tex]x^{-20}[/tex] by [tex]x^{-14}[/tex]. So
[tex]\frac{x^{-20}}{x^{-14}} = x^{-20 - (-14)} = x^{-20 + 14} = x^{-6}[/tex]
The result of the division is [tex]x^{-6}[/tex]