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1.2 Exponents and Powers. An expression like is called a power . The exponent 3 represents the number of times the base 2 is used as a factor. Examples. Practice. A. 3 squared B. x to the fourth power C. s cubed. Evaluate the Power. Evaluate when x = 2 = = 16. - PowerPoint PPT Presentation
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1.2 Exponents and Powers
An expression like is called a power. The exponent 3 represents the number of times the base 2 is used as a factor.
32
32
base onentexp
222
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
24356x
44
555
xxxxxx
Practice
A. 3 squared
B. x to the fourth power
C. s cubed
Evaluate the Power
Evaluate when x = 2
= = 16
4x
44 2x2222
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
Evaluate Exponents a = 1 and b = 2
A.
5
)()( 22 ba )2()1( 22 )22()11(
41
Practice
a = 1 b = 2
B. (a + b) 2
Exponents and Grouping
x = 4
A. B. 32x 3)2( x
Real-Life Applications
Exponents are often used in the formulas for area and volume.
Squared and CubedArea and Volume
Finding Volume
An aquarium has the shape of a cube.Each edge is 2.5 feet long.
a. Find the volume in cubic feet.b.How many gallons of water will the cubic
aquarium hold? Convert to liquid volume, where one cubic foot holds 7.48 gallons.