Lesson 7-3 Warm-Up

1
Lesson 7-3 Warm-Up
2
Multiplication Properties of Exponents (7-3)

• Rule When you multiply exponents with the same
  nonzero base (a ? 0), add the
• exponents.
• Example 23 24 (2 2 2) (2 2 2 2)
  27
• Example -2x 3x5 -2 3 x1 x5 -6x6
• To multiply power in algebraic expressions,
  multiply the coefficients together and add the
  exponents of like terms (same variables)
  together.
• Example
• Example

• How do you multiply numbers with the same base?
• How do you multiply powers in algebraic
  expressions?

am an amn
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Multiplication Properties of Exponents
LESSON 7-3
Additional Examples
Rewrite each expression using each base only
once.
73 72
a.
44 41 42
b.
68 68
c.
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Multiplication Properties of Exponents
LESSON 7-3
Additional Examples
Simplify each expression.
p2 p p5
a.
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Multiplication Properties of Exponents (7-3)

• How do you multiply numbers in scientific
  notation?

• When you multiply numbers in scientific notation,
  multiply the decimal numbers together and add the
  exponents together.
• Example

6
Multiplication Properties of Exponents
LESSON 7-3
Additional Examples
Simplify (3 ? 103)(7 ? 105). Write the answer
in scientific notation.
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Multiplication Properties of Exponents
LESSON 7-3
Additional Examples
The speed of light is 3 ? 108 m/s. If there are
1 ? 103 km in 1 m, and 3.6 ? 103 s in 1 h,
approximate the speed of light in km/h.
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Multiplication Properties of Exponents
LESSON 7-3
Additional Examples
(continued)
The speed of light is about 1.08 ? 109 km/h.
9
Multiplication Properties of Exponents
LESSON 7-3
Lesson Quiz

• Simplify each expression.
• 34 35 2. 4x5 3x2
• (2w 2)(3w2b2)(5b3)
• Write each product using scientific notation.
• 4. (3 ? 104)(5 ? 102) 5. (7 ? 104)(1.5 ? 105)
• 6. What is 2 trillion times 3 billion written in
  scientific notation?

39
12x3
1.05 ? 102
1.5 ? 107
6 ? 1021