Product of Power

Multiple Choice

What is the BASE in the exponent below?
4³

• 4

• 3

• 4³

• 64

Multiple Choice

In order to multiply powers with the same base, add their exponents. 

• True 

• False

Multiple Choice

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

• add

• subtract

• multiply

• divide

Multiple Choice

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

• add

• subtract

• multiply

• divide

Multiple Choice

Which expression is equivalent to 3⁴?

• 3+3+3+3

• 4+4+4

• 4x4x4

• 3x3x3x3

Multiple Choice

(5²)³

• 5⁶
• 5⁵
• 5⁷
• 5⁸

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Multiple Choice

Simplify.

Multiple Choice

Simplify (-7y²)(5y⁴)

• -35y⁶
• -2y⁶
• -35y⁸
• -2y⁸

Fill in the Blank

Simplify.

Multiple Choice

(ab⁸c)(a¹⁷c¹⁰)

• a¹⁷b⁸c¹¹
• a¹⁶b⁸c¹¹
•  a¹⁸b⁸c¹¹

• a^-17b⁸c¹⁰

Multiple Choice

Simplify:
2x² (3xyz⁴)

• 5x³yz⁴
• 6x³yz⁴
• 8x²yz⁴
• 8x³yz⁴

Draw

Solve this problem in the space provided in you packet. Once your table agrees on an answer write your product here.

Multiple Choice

Product Rule

When multiplying exponents with the same base, _______ the exponents.

• subtract

• add

• multiply

• divide

Multiple Choice

Simplify.

Multiple Choice

Simplify: $$\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$$  

• $$16a^8b^9c^9$$  

• $$8a^8b^9c^9$$  

• $$8a^6b^5c^6$$  

• $$16a^5b^5c^6$$  

Multiple Choice

5x³ 2x²

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Multiple Choice

(c⁵)(c³)(c³)

• c⁴⁵
• 3c¹¹
• c¹¹
• 3c⁴⁵

Multiple Choice

(2⁵7³)⁸

• 2¹³7¹¹

• 2³7⁵

• 2⁴⁰7²⁴

• 2^-37^-5

Multiple Choice

Power to a Power Rule

When raising a power to a power, keep the base and ________ the exponents

• postive

• subtract

• multiply

• divide

Multiple Choice

Power of a Product Rule

When raising a product to a power, __________ the exponents to each factor in the product. Then simplify the expression.

• distribute

• add

• multiply

• divide

Multiple Choice

When you see a problem like this -

$$\left(7^2\right)^4$$   - you should ________ the exponents

• add

• subtract

• multiply

• divide

Multiple Choice

$$\left(7^4\right)^3$$  

• $$7^7$$  

• $$7^1$$  

• $$7^{-1}$$  

• $$7^{12}$$  

Multiple Choice

Simplify the following expression:

3x⁴ ⋅ 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

Multiple Choice

Simplify the expression: 3x²⋅x²=

• 3x
• 3x²⁺²
• 3x⁴

Multiple Choice

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰

Multiple Choice

Simplify the following expression:

(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

Multiple Choice

Simplify the following expression:

(-4r⁵)(2r⁸)

• -8r¹³

• -2r¹³

• -8r⁴⁰

• -2y⁴⁰

Multiple Choice

$$\left(4xy^3\right)^3$$  

• $$x^3y^9$$  

• $$64x^3y^9$$  

• $$12x^4y^6$$  

• $$64x^4y^6$$  

Multiple Choice

$$\left(4yx^4\right)^2$$  

• $$8y^3x^6$$  

• $$6y^2x^8$$  

• $$8y^2x^8$$  

• $$16y^2x^8$$  

Multiple Choice

Simplify.

(4st) (-3s³) (t⁵)

• -12s⁴t⁶

• 12s⁶t⁸

• -7s⁴t⁶

• -12s⁶t⁸

Multiple Choice

$$\left(3u^2v^3\right)^2$$  

• $$9u^4v^5$$  

• $$6u^4v^5$$  

• $$9u^4v^6$$  

• $$6u^4v^6$$  

Poll

How do you feel about exponents?

• I absolutely got this!

• I feel like I need some help!

• I am struggling! Help me!

• I feel pretty good, but might have a question!