Basic Exponent Properties

Warmup ~ Basic Exponent Properties

Product Rule 

When multiplying exponents with the same base

Multiple Choice

According to exponent rules, when we multiply exponential expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify the expression.
x³x⁶

• x⁹
• x³
• x¹⁸
• x³⁶

Quotient Rule 

When dividing exponents with the same base

Multiple Choice

According to exponent rules, when we divide the expressions we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

$$\frac{x^8}{x^5}$$  

• $$x^3$$  

• $$\frac{1}{x^3}$$  

• $$x^{13}$$  

• $$x^{40}$$  

Power to Power Rule 

When raising an exponent to another exponent

Multiple Choice

According to exponent rules, when we raise the exponents to another power we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Power of a Product Rule 

When raising a product to a power

Multiple Choice

Simplify the following:
(x²y)⁵

• x⁷y⁵
• x²y⁵
• x¹⁰y⁵
• x⁵y⁵

Multiple Choice

Simplify the expression

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Power of a Quotient Rule 

When raising a quotient to a power

Multiple Choice

Simplify the following

$$\left(\frac{x^3}{y^4}\right)^2$$  

• $$\frac{x^5}{y^6}$$  

• $$\frac{x^6}{y^8}$$  
  

• $$\left(xy\right)^{234}$$  

Zero Exponent Rule

Multiple Choice

What does anything to the zero power equal??

• 0
• 1
• itself
• the variable

Multiple Choice

Simplify y⁰

• y

• 0

• 1

• 1y

Multiple Choice

Simplify -4x⁰

• -4x
• -4
• 1
• -1

Negative Exponent Rule

Multiple Choice

Write using only positive exponents.  (SIMPLIFY)

$$\frac{1}{3^{-3}}$$  

• $$\frac{1}{3^3}$$  

• $$3^3$$  

• 27

• $$\frac{1}{27}$$  

Multiple Choice

Write with positive exponents:

• a^-2

• a²

• $$\frac{1}{a^2}$$

• 2a

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷