Answer:
Option 2: [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\bf\mathsf{x^3\:x^{-7}}[/tex]:
In order to determine its equivalent exponential expression, we must apply the Negative Exponent Rule, where it states that: [tex]\LARGE\bf\mathsf{a^{-n}\:=\:\frac{1}{a^{n}}}[/tex].
Therefore, the equivalent expontial expression of [tex]\bf\mathsf{x^3\:x^{-7}}[/tex] is in Option 2: [tex]\LARGE\bf\mathsf{x^3x^{-7}\:=\frac{x^3}{x^{7}}}[/tex].
