1.2 exponents and powers an expression like is called a. the 3 represents the number of times the 2...
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1.2 Exponents and Powers
An expression like is called a . The 3 represents the number of times
the 2 is used as a factor.
32
32
powerexponent
base
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ExamplesExponential Exponential
FormFormWordsWords MeaningMeaning
four to the second four to the second power or four power or four squaredsquared
Five to the third Five to the third power or five power or five cubedcubed
X to the sixth X to the sixth powerpower
2435
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Practice
A. 3 squared
B. x to the fourth power
C. s cubed
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Evaluate the Power
D) Evaluate when x = 2
16
4x
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Grouping Symbols
- Indicate the order in which the operations should be performed.
- Operations within the innermost set of grouping symbols are done first
- ( ) parentheses- [ ] brackets
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Evaluate Exponents a = 1 and b = 2
E.
5
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Practice
F) a = 1 b = 2
B. (a + b)
2
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Exponents and Grouping
G) x = 4
a). b).
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Real-Life Applications
Exponents are often used in the formulas for area and volume.
Squared and CubedArea and Volume
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Finding Volume
An aquarium has the shape of a cube.Each edge is 2 feet long.a. Find the volume in cubic feet.