Divide Monomials: example 6.59

To simplify an expression with a quotient, we need to first compare the exponents in the numerator and denominator.

1. ⓐ
   

   Since 9 > 7, there are more factors of x in the numerator.
   Use the Quotient Property, $\frac{a^m}{a^n}=a^{m-n}$.
   Simplify.

2. ⓑ
   

   Since 10 > 2, there are more factors of x in the numerator.
   Use the Quotient Property, $\frac{a^m}{a^n}=a^{m-n}$.
   Simplify.

   
   Notice that when the larger exponent is in the numerator, we are left with factors in the numerator.