Multiplication Properties of Exponents

What is the product rule?

•  $x^a\cdot x^b=x^{a+b}$  

•  $\frac{x^a}{x^b}=x^{a-b}$  

•  $\left(x^a\right)^b=x^{a\times b}$  

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CCSS.6.EE.A.1

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Write the product as one power. 
5⁵ * 5⁹

• 5¹⁴
• 5
• 25
• 5⁴

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a⁶ ⋅ a⁴

• a⁶⁴

• a²⁴

• a¹⁰

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CCSS.6.EE.A.1

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Write the product as one power.
m * m³

• m³
• m⁴
• m
• m³

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CCSS.6.EE.A.1

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Simplify. (k² )(k³)

• k⁶

• k

• k⁸

• k⁵

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CCSS.6.EE.A.1

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If you simplified this expression, what would be the exponent on the final answer?

 $m^5\cdot m^3$  

• 2

• 8

• 15

• 4

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CCSS.6.EE.A.1

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 $a^2\cdot a^3\cdot a^6$  

•  $a^{11}$  

•  $a^{36}$  

•  $a^{20}$  

•  $3a^{12}$  

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CCSS.6.EE.A.1

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What value of  $n$  makes the statement true?
 $5^7\cdot5^n=5^{10}$  

• 3

• 2

• 1

• 8

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CCSS.6.EE.B.5

Simplify:
 $x^3\cdot x^5$  

•  $x^2$  

•  $x^{15}$  

•  $x^8$  

•  $x^{-2}$  

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CCSS.6.EE.A.1

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Write the product as one power.
 5³ * 7³

• 5³
• 7³
• cannot combine
• 35⁶

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