Multiplying Exponents

Rules to remember:

1. If you have the same base, add the exponents

2. If you have coefficients (numbers in front of the variable), then multiply them.

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Multiplying Exponents

Multiple Choice

If the bases are the same, then you....

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

Multiple Choice

Simplify:  x ∙ x ∙ x ∙ x ∙ x  ∙ x

• x⁶

• 6x

• x³

• 6x⁶

Multiple Choice

What is the exponent form for the factors
5 x 5 x 5?

• 3⁵

• 5³

Multiple Choice

Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 

• 4⁵

• 5⁴

• 4⁶

• 4⁶

Multiple Choice

Write the following in exponential form: 7 x 7 x 7 x 7 x 7

• $$7^5$$

• $$5^7$$

• 7 x 5

• 16,807

Multiple Choice

Write the following in expanded form:  $$2^2$$  x  $$2$$  x  $$2^3$$  

• $$2^6$$  

• 2 x 2 x 2 x 2 x 2 x 2

• $$2^5$$  

• 2 x 2 x 2 x 3 x 3

Multiple Choice

x^{20 .} x¹⁰

• x³⁰

• x²⁰⁰

• 2x³⁰

• x¹⁰

Multiple Choice

$$6r\cdot5r^2$$  

• 30r³

• 30r²

• 11r³

• 11r²

Multiple Choice

What is equivalent to

$$3x^2y\cdot6xy^3$$  

• $$9x^3y^4$$  

• $$9x^3y^3$$  

• $$18x^3y^4$$  

• $$18x^3y^3$$  

Multiple Choice

What is equivalent to

$$5m^4n^3\cdot8m^5n^4z$$  

• $$40m^9n^7$$  

• $$13m^8n^7z$$  

• $$13m^9n^7z$$  

• $$40m^9n^7z$$