Exponents
Common Core Standard: Write and evaluate numerical expressions involving whole-number exponents.
Common Core Standard: Evaluate expressions at specific values of their variables. Include expressions that arise from
formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents,
in the conventional order when there are no parentheses to specify a particular order.
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Exponent –is a number that tells how many times the base number is used in multiplication
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Base – the number that is going to be raised to a power
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Power – shows how many times to multiply the base number, this is the same as exponent
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Square or squared – when a base is raised to the second power
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Cube or cubed – when a base is raised to the third power
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Example: 43 you would say this by stating it is 4 cubed or 4 to the third power
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4●4●4
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16 ● 4
o
64
Example: 52 you would say this by stating it is 5 squared or 5 to the second power
o
5●5
o
25
Geometry Example:
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Remember that squares have sides with the same length
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Also, remember that area of a square is length multiplied by width
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Since, the length and the width of a square are the same, multiplying the length by the width is the same as
squaring either the length or the width
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If a square has a length of 8 in and a width of 8 in, what is the area of the square
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(8 in)2
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8 in ● 8in
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64 in2
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Note: The units are squared in the answered, because when determining the area you
multiply the units as well as the number
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Order of Operations Example:
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Order of operations is the list of operations that need to be done first in an equation
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These are: Parenthesis, Exponents, Multiplication or Division, Addition or Subtraction

62 – 18 + 12
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First, perform the exponent operation
o
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62 = 6 ● 6 = 36
Next, since there isn’t any multiplication or division move to either addition or subtraction,
whichever operation is first from left to right
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Then, add 12
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
36 – 18 = 18
18 + 12 = 30
62 – 18 + 12 = 30