Answer:
Step-by-step explanation:
Use the laws of exponents, specifically the law for division.
When dividing, the exponents are subtracted.
For example, [tex]\frac{x^{8} }{x^{2} }=x^{8-2} =x^{6}[/tex]
Now let's do an example where the exponent will equal zero.
[tex]\frac{5^{2} }{5^{2} } = 5^{2-2}=5^0=1[/tex]
Now let's see why this equals 1. If you actually solve [tex]5^2[/tex] it equals 25. So, let's solve the numerator and denominator and simplify.
[tex]\frac{5^{2} }{5^{2} } = \frac{25}{25} =1[/tex]
As you can see, an exponent of 0 represents having the same number in the numerator and denominator, which when solved it equals 1.
