Dividing Monomials with Negative Exponents

Simplify. Assume no denominator is equal to 0.

 $\frac{1}{w^{-3}}$  


**Remember: Negative exponents get moved to the opposite spot.**

•  $w^3$  

•  $w^{-3}$  

•  $\frac{1}{w^3}$  

Simplify. Assume no denominator is equal to 0.

 $h^{-5}$  

**Remember: Negative exponents get moved to the opposite spot.**

•  $\frac{1}{h^{-5}}$  

•  $h^5$  

•  $\frac{1}{h^5}$  

Simplify. Assume no denominator is equal to 0.

 $-3m^4n^{-1}$  


**Remember:  Only negative exponents are moved.**

•  $\frac{m^4}{3n}$  

•  $-3m^4n$  

•  $\frac{-3m^4}{n}$  

Simplify. Assume no denominator is equal to 0. 


 $a^{-2}b^3c^{-5}$  


**Remember:  Negative exponents get moved to the opposite spot.**

•  $\frac{1}{a^2b^3c^5}$  

•  $\frac{b^3}{a^2c^5}$  

•  $a^2b^3c^5$  

Simplify. Assume no denominator is equal to 0.

 $\left(3y^{-5}\right)\left(2y^{-3}\right)$  

**Remember:  Multiply coefficients & add exponents. Negative exponents get moved to the opposite spot.**

•  $5y^{-8}$  

•  $\frac{6}{y^8}$  

•  $6y^{15}$  

Simplify. Assume no denominator is equal to 0.

 $\frac{a^4}{a^{-5}}$  

**Remember:  When dividing monomials, subtract exponents.**

•  $a$  

•  $a^9$  

•  $\frac{1}{a^{20}}$  

Simplify. Assume no denominator is equal to 0.

 $\frac{x^3y^2}{xy^{-6}}$  

**Remember:  When dividing monomials, subtract exponents of like variables.**

•  $x^2y^8$  

•  $\frac{x^3}{y^3}$  

•  $\frac{x^3}{y^{12}}$  

Simplify. Assume no denominator is equal to 0.

 $\frac{-5m^4n^3}{20m^{10}n^8}$  


**Remember:  Divide/reduce coefficients, subtract exponents, and then move negative exponents to the opposite spot.**

•  $-15m^6n^5$  

•  $\frac{-1m^{0.4}n^{0.38}}{4}$  

•  $\frac{-1}{4m^6n^5}$  

Simplify. Assume no denominator is equal to 0.

 $\frac{48x^6y^7z^5}{6xy^7z^6}$  


**Remember:  Divide/reduce coefficients, subtract exponents, and then move negative exponents to the opposite spot.**

•  $42x^7y^{14}z^{11}$  

•  $8x^5yz^{-1}$  

•  $\frac{8x^5}{z}$  

Simplify. Assume no denominator is equal to 0.

 $\frac{24mn^{-9}}{12mn^{-11}}$  

**Remember:  Divide/reduce coefficients, subtract exponents, and then move negative exponents to the opposite spot.**

•  $\frac{12m^2}{n^{20}}$  

•  $2n^2$  

•  $2mn^2$