Dividing Monomials

Dividing Monomials (Quotient Rule)

Quotient Rule

• Divide coefficients

• Subtract Exponents

• Example:

   $\left(\frac{x^5}{x^3}\right)=\ x^{5-3}=x^2$  

• Ex:  $\left(\frac{x^{10}y^7z^3}{x^2y^4z^2}\right)=x^{\left(10-2\right)}y^{\left(7-4\right)}z^{\left(3-2\right)}=x^8y^3z$  

• Ex: $\left(\frac{36c^2d^5}{4c^2d^3}\right)=\left(\frac{36}{4}\right)\left(c^{2-2}\right)\left(d^{5-3}\right)=9d^2$  

Multiple Choice

Using the quotient rule, what operation do we do to combine exponents

• Add

• Subtract

• Divide

• Multiply

Multiple Choice

 $\left(\frac{x^7}{x^5}\right)$  =?

• 2x

•  $x^{12}$  

•  $x^2$  

• x

Multiple Choice

 $\left(\frac{p^7q^{16}}{p^4q^{12}}\right)$  =?

•  $p^4q^3$  

• 11p+28q

•  $p^3q^4$  

•  $pq$  

Multiple Choice

 $\left(\frac{14r^2s^2}{7rs}\right)$  =?

• 2

•  $2r^2s^2$  

•  $7rs$  

• 2rs

Multiple Choice

 $\left(-\frac{36c^2d^5}{4c^2d^3}\right)$  

•  $-9d^2$  

• 9cd

•  $-4c^2d$  

•  $-12cd^2$