Answer:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
Step-by-step explanation:
The quotient rule of exponential power states that:
[tex]\displaystyle\frac{x^r}{x^s} = x^{r-s}[/tex]
This can be easily understood with the help of an example:[tex]\displaystyle\frac{x^4}{x^2} = \displaystyle\frac{x\times x\times x\times x}{x\times x} = x^2 = x^{4-2}[/tex]
Basically, this quotient rule helps us to reducing the fractions. Since the numerator and the denominator is same as we have same base, we could simply subtract the powers to get the answer as illustrated in the above example.
