Multiplying and Dividing Monomials

Open Ended

_____ and _____ are the same because ____

______ and _____ are different because ___

​What is a Monomial?

Multiple Select

Identify all monomials.

• a⁷ - 3a + 1

• 15a⁸

• 5 - a⁸

• 7a + 5a¹²

• $$3a^2v^6$$  

Multiplying Monomials

​​x² ∙ x³ = ?

​​

​

Shortcut:

​When multiplying terms with the same base, ​

keep the base and ADD the exponents​

Multiple Choice

Simplify: $$d^4\cdot d^5$$  

• 2d⁴
• d⁹
• d²
• 2d

Multiple Choice

Simplify: $$n^2\ \cdot\ n^4$$  

• 2n²

• n⁸

• n⁶

• 2n⁸

Pause...

Power to a Power

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​Multiplying Monomials

​​What about this?

Multiple Choice

$$6x^7\times4x^2$$  

• 10x⁹
• 24x¹⁴
• 24x⁹
• 10x¹⁴

Or this?

Multiple Choice

$$\left(-7y^3\right)\left(5y^2\right)$$  

• -35y⁶
• -35y⁵
• -2y⁶
• -2y⁵

Multiple Choice

$$7e^3\cdot10e^3f^5$$  

• 70e³f⁶

• 17e³f⁸

• 70e⁶f⁵

• none of the above

Multiple Choice

$$10xy^3\cdot8x^5y^3$$  

• 80xy³
• 80x⁶y³
• 80x⁶y⁶
• none of the above

Multiple Choice

$$\left(-4a\right)\left(3abc\right)$$  

• -12abc
• -12bc
• -4a²bc
• -12a²bc

Dividing Monomials

Shortcut:

​When dividing terms with the same base, ​

keep the base and SUBTRACT the exponents​

Draw

$$\frac{c^7}{c^2}$$

Draw

$$\frac{5^{10}}{5^2}$$

Draw

$$r^{20}\div r^6$$

Draw

Simplify

Draw

Simplify

Draw

Simplify