Exponents

Exponents

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8.EE.1 Understand, explain, and apply the properties of integer exponents to generate equivalent numerical expressions.

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Multiple Choice

Write the expression using exponents $$5\times5\times2\left(-2\right)$$  

• $$5^2\cdot-2^2$$  

• 2 x 5

• $$5^22^2$$  

​5 x 5 x 2 (-2)

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• ​​5 x 5 = 5²

• 2​ (-2) = 2 x -2

• ​Parentheses means to multiply

• There is an odd number of negative signs (-) so 2 stays negative

Multiple Choice

Write the expression using exponents $$7\cdot3\cdot7\cdot2\cdot2\cdot2$$  

• 7 x 3 x 2

• 150

• $$2^3\cdot3\cdot7^2$$  

​To Simplify…

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​Count the number of times a number appears

​I.e., how many times did the number 2 appear? 3 times.

2 is the base and 3 is the exponent

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​2³

Multiple Choice

Write the expression using exponents

8 x 8 x 6 x 6 x 6

• 2 x 8 x 3 x 6

• $$6^3\cdot8^2$$  

• 8 x 6

Multiple Choice

Which of the expressions represents the following

$$x\cdot x\cdot y\cdot x\cdot y$$  

• $$3x2y$$  

• $$x^3\cdot y^2$$  

• $$xy^5$$  

Poll

Which of the expressions represents the following

$$x\cdot a\cdot a$$  

• 2ax

• $$ax$$  

• $$a^2x$$  

Multiple Choice

Which of the following expressions represents the following

$$b\cdot c\cdot b\cdot c$$  

• $$b^2c^2$$  

• 2cb

• 4cb

Multiple Choice

Evaluate Algebraic Expressions if a = 2 and b = 5

$$2a\cdot b^2$$  

• 75

• 39

• 100

Multiple Choice

Evaluate Algebraic Expressions if a = 2 and b = 5

• 25

• 37

• 100

Multiple Choice

Evaluate Algebraic Expressions if c = 5 and d = 3

• 47

• 50

• 75