Multiplication by a Monomial Lesson Slides: 8 Slides

8 Slides • 11 Questions

1

Multiplying Monomials

2

What is a monomial?

3

Multiple Select

Identify all monomials.

1

a⁷- 3a + 1

2

15a⁸

3

5 - a⁸

4

7a + 5a¹²

5

$\frac{3}{4}a^2$

4

First, let's review exponents

x² = x ∙ x

x³ = x ∙ x ∙ x

x⁴ = ?

5

So what about...

x²∙ x³ = ?

6

Is there a shortcut?
What do you notice about the exponents and number of x's?

7

Rule: When multiplying terms with the same base,

keep the base and ADD the exponents

8

Multiple Choice

Simplify: $d^4\cdot d^5$

1

2d⁴

2

d⁹

3

d²

4

2d

9

Multiple Choice

Simplify: $n^2\ \cdot\ n^4$

1

2n²

2

n⁸

3

n⁶

4

2n⁸

10

Multiple Choice

Simplify: $\left(-2\right)^3\ \cdot\ \left(-2\right)^6$

1

$\left(-2\right)^9$

2

$\left(-2\right)^{18}$

3

$\left(-4\right)^{18}$

4

$\left(4\right)^9$

11

What about this?

12

What about this?

Solution:

13

Multiple Choice

$6x^7\times4x^2$

1

10x⁹

2

24x¹⁴

3

24x⁹

4

10x¹⁴

14

Multiple Choice

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

1

-35y⁶

2

-35y⁵

3

-2y⁶

4

-2y⁵

15

Multiple Choice

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

1

-x^8y

2

-xy⁸

3

-x⁵y³

4

-(xy)⁸

16

Multiple Choice

$9xy^2\cdot9x^5y^2$

1

81x⁶y⁴

2

18x⁶y⁶

3

9x⁶y⁴

4

none of the above

17

Multiple Choice

$7e^3\cdot10e^3f^5$

1

70e³f⁶

2

17e³f⁸

3

70e⁶f⁵

4

none of the above

18

Multiple Choice

$10xy^3\cdot8x^5y^3$

1

80xy³

2

80x⁶y³

3

80x⁶y⁶

4

none of the above

19

Multiple Choice

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

1

-12abc

2

-12bc

3

-4a²bc

4

-12a²bc

Multiplying Monomials

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