Multiplication and Division with Monomial Expressions

​Review: Value of Expressions

​Multiplying monomial expressions

​* Multiply the coefficients

​* Multiply the variables

• Unlike---copy the variables

• ​Like---add the exponents

​Multiplying Monomial Expressions

​Example 1

​Example 2

Open Ended

Calculate

$$\left(-4x\right)\times5y$$  

Open Ended

Calculate

$$\left(-7y\right)\times\left(-3x\right)$$   

Open Ended

Calculate

$$\frac{5}{9}a\times\left(-3b\right)$$   

Open Ended

Calculate

$$\frac{1}{2}x\times\frac{3}{4}x$$   

Open Ended

Calculate

$$3ab\times b$$   

Open Ended

Calculate

$$\left(-x\right)\times\left(-8xy\right)$$    

​Calculating Expressions with exponents

​Example 1

Open Ended

Calculate

$$\left(-7a\right)^2$$  

Open Ended

Calculate

$$\frac{1}{3}x\times\left(3x\right)^2$$  

Open Ended

Calculate

$$-\left(4x\right)^2$$  

Open Ended

Calculate

$$\left(-a\right)^2\times3a$$  

Multiple Choice

5x ( 3x ) =

• 15

• 8x

• 15 x

• 15x²

Multiple Choice

Simplify
x³⋅x⁶

• x⁹

• x¹⁸

• x¹

• x²

Multiple Choice

(3c²)(10c⁷)

• 13c⁹

• 30c⁵

• 30c⁹

• -30c⁹

Multiple Choice

2n⁴ * 6n⁴

• 8n⁴

• 12n⁸

• 8n¹⁶

• none of the above

Multiple Choice

(-4a)(3abc)

• -12abc

• -12bc

• -4a²bc

• -12a²bc

Multiple Choice

Simplify: x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

Multiple Choice

2n⁴ * 5n⁴

• 7n⁴

• 10n¹⁶

• 10n⁸

• none of the above

Multiple Choice

$$\left(-4x\right)\left(2x^2\right)$$  

• $$8x^3y$$  

• $$-6x^3$$  

• $$-8x^3$$  

• $$6x^3$$  

Multiple Choice

$$\left(4a^3\right)\left(a^2\right)$$  

• $$4a^5$$  

• $$-12a^5$$  

• $$12a^5$$  

• $$-4a^5$$  

Multiple Choice

$$\left(-2y\right)\left(3y^7\right)$$  

• $$6y^8$$  

• $$-6y^8$$  

• $$5y^8$$  

• $$-5y^8$$  

Multiple Choice

$$\left(7m\right)\left(3mn^4\right)$$  

• $$21m^2n^4$$  

• $$-21m^2n^4$$  

• $$10m^2n^4$$  

• $$-10m^2n^4$$  

Multiple Choice

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

• $$-15x^8$$  

• $$8x^8$$  

• $$15x^8y^3$$  

• $$-8x^8$$  

Multiple Choice

$$\left(x^3y^4\right)\left(x^4y^3\right)$$  

• $$x^7y^7$$  

• $$3x^7y^7$$  

• $$-x^7y^7$$  

• $$-3x^7y^7$$  

Multiple Choice

$$\left(6y^2\right)\left(2y^4\right)$$  

• $$8y^6$$  

• $$12y^6$$  

• $$-6y^6$$  

• $$5y^6$$  

Multiple Choice

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

• $$x^6$$  

• $$x^5$$  

• $$x^{12}$$  

• $$x^{14}$$