Exponent Rules

Exponent Rules

Review

Exponent Rules Review

Multiple Choice

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16

Multiple Choice

Which number is the BASE?
2³ = 8

• 2
• 3
• 8

Multiple Choice

How do you correctly say 4³

• 4 squared
• 3 quadrupled
• 4 cubed
• 4 to the power of 2

Multiple Choice

What is the exponent form for 
6?

• 6⁰
• 6¹

Product of Exponents

a^maⁿ= a^{(m + n)}

Fill in the Blanks

The product rule of exponents says that when you are multiplying powers and the bases are the same, you

the exponents. Example x²*x⁵

Multiple Choice

Simplify using the product rule: x³y²x³=

• x⁶y²
• xy⁸
• x³y⁵

Multiple Choice

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Multiple Choice

X² ⋅ X³ ⋅ X⁴ ⋅ X

• x⁹
• x²⁴
• x¹⁰
• x²⁵

Quotient Rule

 $\frac{x^a}{x^b}\ =\ x^a-b$  

Multiple Choice

According to the quotient rule, when we are dividing and the bases are he same, we __________ the exponents.

• add

• subtract

• multiply

• divide

Fill in the Blanks

Find the missing exponent.  $\frac{s^8}{s^2}=s^-$  

Multiple Choice

Simplify:

 $\frac{3k^5}{9k^4}$  

• $3k^9$

• $\frac{k}{3}$

• $\frac{k}{6}$

• $6k$

Multiple Choice

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Power of a Power Rule

(a^m)ⁿ = a^m*n

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify:  (m⁹)²

• m¹¹
• 2m⁹
• m¹⁸
• m^4.5

Multiple Choice

Simplify:  $\left(3x^5\right)^6$  

•  $18x^{30}$  

•  $729x^{11}$  

•  $3^6x^{30}$  

•  $729x^{30}$  

Zero Exponents

a⁰ = 1

Fill in the Blanks

The zero exponent rule says that any number to the power of zero is

? example 25⁰=?

Multiple Choice

Simplify the following expression:

-9⁰

• -9

• 0

• -1

• 1

Multiple Choice

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Multiple Choice

(-4r³s⁵)⁰ (3b⁴c²d)

• 1
• -12b⁴c²d
• 3b⁴c²d
• 0

STAAR Questions

Multiple Choice

• F

• G

• H

• J

Open Ended

Open Ended