Laws of Exponents

Laws of Exponents

(a lecture and a quiz)

By: Rochelle Ragus

MaEd - Mathematics

​

Illustrative Examples

1. a²=a⋅a

2. 2²=2⋅2=4

3. 2³=2⋅2⋅2=8

Illustrative Examples

1. 2⁰=1

2. -(7)⁰=-1

3. I

Illustrative Examples

​1. a²⋅ a³=a²⁺³=a⁵

​3. 3²⋅ 3²=3²⁺²=3⁴=3⋅3⋅3⋅3⋅3=81

2.2³⋅2⁴=2³⁺⁴=2⁷

Multiple Choice

 Simplify

a² $$\cdot$$ a³

• a¹

• a^-1

• a⁵

• a⁶

Multiple Choice

 Simplify

4² $$\cdot$$ 4³

• 4¹

• 4²

• 4³

• 4⁵

Multiple Choice

Evaluate

2³

• 2

• 5

• 6

• 8

Multiple Choice

Evaluate

3⁴

• 7

• 12

• 27

• 81

Multiple Choice

Evaluate

(-12)⁰

• 0

• 1

• -1

• -12

Multiple Choice

Simplify

-(1/3)⁰

• 0

• 1

• -1

• 1/3

Illustrative Examples

Illustrative Examples

1. (b²)³=b⁽²⁾⁽³⁾=b⁶

2. (3a³)²=3⁽²⁾a⁽³⁾⁽²⁾=9a⁶

Multiple Choice

Simplify

$$\frac{2^7}{2^2}$$  

• 2²

• 2⁵

• 2⁷

• 2⁹

Multiple Choice

Evaluate

$$\frac{3^4\cdot3^2}{3^3}$$  

• 3

• 9

• 27

• 81

Multiple Choice

Simplify

$$\frac{5^6\cdot5^5}{5^4\cdot5^3}$$  

• 5¹

• 5²

• 5³

• 5⁴

Multiple Choice

Simplify

$$\frac{2^4\cdot2^2}{2^4}$$  

• 2

• 2²

• 2⁸

• 2¹⁰

Multiple Choice

Simplify

(a²b)⁵

• a⁷b⁵

• a⁵b⁷

• a¹⁰b⁵

• a⁵b¹⁰

Multiple Choice

Simplify

(x²)³

• x

• x⁵

• x⁶

• x²³

Multiple Choice

Evaluate

(2³)²

• 8

• 16

• 32

• 64

Multiple Choice

Simplify

(3x²y⁵)²

• 3x⁴y¹⁰

• 3x¹⁰y⁴

• 9x¹⁰y⁴

• 9x⁴y¹⁰

Multiple Choice

Evaluate

(2m³)⁴ $$\cdot$$  (4m³)²

• 16m¹⁸

• 16m¹⁶

• 8m¹⁸

• 8m¹⁶

Draw

Draw a happy face if you understand our lesson for today.