Chapter 1 – Connections to Algebra

1.2 – Exponents and Powers

1.2 – Exponents and Powers

In this section we will learn how to:

Evaluate expressions containing exponents

Use exponents in real-life problems

1.2 – Exponents and Powers

An expression like 32 is called a power.3 is the base2 is the exponent32 is the power

1.2 – Exponents and Powers

Express the meaning of the power in words and then with numbers or variables

81

8 to the first power 8

62

6 to the second power, or 6 squared 6·6

43

4 to the third power, or 4 cubed 4·4·4

97

9 to the seventh power 9·9·9·9·9·9·9

yn

y to the nth power y·y·y·y·y…y

1.2 – Exponents and Powers

Example 1Evaluate the expression x4 when x = 3.

1.2 – Exponents and Powers

GROUPING SYMBOLSWhen a problem has more than one

operation, grouping symbols, such as parentheses () can tell you which operation should be performed first.

1.2 – Exponents and Powers

Example 2Evaluate the expression when a = 3 and b = 4.

(a + b)3

a + (b3)

1.2 – Exponents and Powers

Example 3Evaluate the expression when a = 2 and b = 3.

(a + b)2

a2 + b2

1.2 – Exponents and Powers

Example 4Evaluate the expression when x = 5

3x2

(3x)2

1.2 – Exponents and Powers

Example 5 Evaluate the expression when x = 2.

4x3

(4x)3

1.2 – Exponents and Powers

Exponents are used in formulas in everyday life. They are most commonly used to find area and volume.

The terms squared and cubed come from the area of a square, A = s2, and the volume of a cube, V = s3

1.2 – Exponents and Powers

Example 6A square had side lengths of 30 feet. What

is the area of the square?

1.2 – Exponents and Powers

Example 7A tank has the shape of a cube. Each edge

is 4.5 feet long. What is the volume of the tank?

How many gallons of water will the tank hold if one cubic foot holds 7.48 gallons?

1.2 – Exponents and Powers

HOMEWORK

BRING BOOK TOMORROW!!!!

1.2 – Exponents and Powers

HOMEWORK

Page 12

#18 – 46 even, 56 – 66 even