Unit 2 - Exponent Rules Review Lesson/Practice

Exponent Rules Review Lesson/Practice

By Kristin Harrell

Rule #1

Products

​When you are multiplying the same bases, you add the exponents.

Ex. x²(x⁵) = x²⁺⁵ = x⁷​

Some text here about the topic of discussion

Multiple Choice

Simplify: $$x^{-4}\cdot x^2$$  

• $$x^{-2}$$  

• $$x^{-8}$$  

• $$x^2$$  

• $$x^8$$  

Multiple Choice

According to PRODUCT OF POWERS PROPERTY, what operation do you use to combine the exponents when the bases are the same?

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Evaluate: $$2^2\cdot2^5$$  

• 40

• 14

• 32

• 128

Rule #2

Quotient of powers property

​

When the same bases are being divided, you subtracat the exponents.

Example: x⁹/x⁴ = x^9-4 = x⁵

Example: x^-15/x² =x^-15-2 = x^-17​

Some text here about the topic of discussion

Multiple Choice

Evaluate: $$\frac{3^5}{3^2}$$  

• 3

• 1

• 9

• 27

Multiple Choice

$$\frac{x^?}{x^3}=x^8$$  

• 3

• 5

• 8

• 11

Rule #3

Power to a power​

When you have a power rasied to a power, you need to multiple.

Example: (x²)⁵ = x²⁽⁵⁾ = x¹⁰​

Some text here about the topic of discussion

Multiple Choice

Which of the following is equivalent to 2⁶?

• $$\left(2^{-3}\right)^{-2}$$

• $$\left(2^3\right)^3$$

• $$\left(2^{-3}\right)^2$$

• $$\left(2^{-3}\right)^{-3}$$

Multiple Choice

$$\left(x^2\right)^{?\ }=\ x^{12}$$  

• 6

• 10

• 14

• 24

Rule #4​

Exponent of 0​

Anytime you have an exponent of 0 your answer is 1!

Example: x⁰ = 1

Example: 10000⁰ = 1​

Some text here about the topic of discussion

Multiple Choice

$$y^0=$$  

• y

• 0

• 1

• 10

Multiple Choice

Simplify (-1/2)⁰

• 1
• 0
• -1
• -2

Multiple Choice

• 0
• 3
• 1
• -1

Rule #5

Negative Exponents

When you have negative exponents you need to use the reciprocal.

Example: x^-3 = 1/x³

Example: 1/y^-5 = y⁵

Some text here about the topic of discussion

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

Rewrite using a positive exponent.
(-5)^-4

• (-5)⁴
• ¹/_(-5)^-4
• ¹/_(-5)⁴
• -625

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Rewrite using a positive exponent.
w^-13

• -w¹³
• ¹/_w¹³
• ¹/_w^-13
• w¹³