Multiplying Monomials Review

Simplify:

 $\left(3xy\right)\left(2x^3y\right)$  

(Remember:  Multiply coefficients and add exponents.)

•  $5x^4y$  

•  $6x^4y^2$  

•  $6x^3y$  

Simplify:

 $-x\left(-x^4\right)\left(-x^4\right)$  

•  $-x^9$  

•  $x^8$  

•  $-x^{16}$  

Simplify:

 $\left(2m^2\right)^3$  

•  $6m^5$  

•  $6m^6$  

•  $8m^6$  

Simplify:


 $-x\left(4x^2\right)^3$  

•  $-12x^7$  

•  $-64x^7$  

•  $-12x^6$  

Simplify:

 $\left(-2u\right)\left(u^2v\right)\left(4u^3v^3\right)$  

•  $-8u^6v^4$  

•  $2u^6v^3$  

•  $-8u^5v^3$  

Simplify:

 $\left(-6m^3n^6\right)^2$  

•  $36m^5n^8$  

•  $-12m^6n^{12}$  

•  $36m^6n^{12}$  

When you raise a monomial to a power, distribute the power and _______________________ the exponents.

• add

• subtract

• multiply

Simplify:

 $\left(xy^3\right)^2\left(x^2y\right)^3$  

(Hint: Make sure all variables have an exponent. Distribute the exponents and multiply the powers. Don't forget to add exponents of like variables as your last step.)

•  $x^8y^9$  

•  $x^7y^8$  

•  $\left(x^2y^6\right)\left(x^6y^3\right)$  

Simplify:


 $\frac{1}{2}\left(4ab^2\right)^2\left(a^4b^5\right)^3$  


(Hint: Make sure all variables and coefficients have an exponent. Distribute the exponents and multiply the powers. Then add exponents of like variables.)

•  $4a^{10}b^{11}$  

•  $8a^{14}b^{19}$  

•  $8a^{24}b^{60}$  

Simplify:

 $-3xy\left(-2xy^2\right)^3$  


Hint:   $-3xy\left(\left[-2\right]^1x^1y^2\right)^3$  Distribute the exponent 3 first.

•  $18x^4y^7$  

•  $18x^3y^5$  

•  $24x^4y^7$