Product and Quotient of Powers

Product and Quotient of Powers

by Miranda Holt

Multiple Choice

What is the BASE in the exponent below?
4³

• 4
• 3
• 4³
• 64

Multiple Choice

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

• 4
• 2
• 16

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?

• 7⁵
• 7⁶
• 6⁷
• 7⁷

Multiple Choice

How do you correctly say 4³

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

​Video Review of Product and Quotient of Powers

​

​Watch the video and answer the questions that follow.

​

Multiple Choice

The Power of Products Property says when the exponents are the same and the bases are different, you ________________________

• add the bases

• multiply the bases

• multiply the exponents

• add the exponents

Multiple Choice

y¹²  x  y¹⁰

• y²
• y²²
• y²⁰
• y¹²⁰

Multiple Choice

Use the properties of exponents to write the expression as a single power: (b¹)(b¹¹) =

• b¹¹

• b¹⁰

• b¹²

Multiple Choice

4³ x 4³

• 4⁶

• 4⁹

• 16⁶

• 16⁹

Multiple Choice

7⁸ x 7

• 7⁹

• 49⁸

• 7⁸

• 49⁹

Multiple Choice

Simplify: $$c^5\cdot c^3\cdot c^3$$  

•   $$c^{45}$$  

•   $$3c^{11}$$  

•   $$c^{11}$$  

• None of the above

Multiple Choice

10⁵ x  10⁷

• 10²
• 10³
• 10¹²
• 10¹³

Multiple Choice

t⁹  x  t⁸

• t¹
• t⁷²
• t¹⁷
• t

Multiple Choice

Evaluate the expression using the quotient rule.

• 1²²
• 1³⁰
• 6²²
• 6³⁰

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰

Multiple Choice

15⁹÷15^{3 =}

• 15⁶
• 15¹²
• 1⁶
• 1¹²

Multiple Choice

18h¹⁰÷ 6h⁸ 

• 3h¹⁸
• 3h⁸⁰
• 2h²
• 3h²

Multiple Choice

30y¹² / 15y²

• 2y²⁴
• 2¹⁰
• 2y¹⁰
• 2y¹⁴

Multiple Choice

(r⁴)⁶

• 10r
• r¹⁰
• 24r
• r²⁴

Multiple Choice

Simplify: (3x²)³

• 27x⁶
• 9x⁶
• 3x⁶
• 9x⁵