Dividing Monomials

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Lesson 8-2

• Dividing Monomials

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Objectives

• Simplify exponents involving the quotient of
  monomials
• Simplify expressions containing negative exponents

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Vocabulary

• Zero exponent for any nonzero number a, a0 1
• Negative exponent for any nonzero number a and
  any integer n, a-n 1/an and 1/a-n an

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Laws of Exponents, Part 2

• Division (subtract exponents)
• b6 ? b4 b6-4 b2
• 26 ? 22 64 ? 4 16 ( 24)
• 23 ? 22 8 ? 4 2 ( 21)
• 32 ? 23 9 ? 8 1.125 (bases not the
  same!)
• Anything (except 0) raised to zero power 1!
• b0 1
• 32 ? 32 9 ? 9 1 (30)

b?b?b?b?b?b (b?b?b?b?b?b) ? (b?b?b?b)
---------------------- b?b
b?b?b?b
(1256x2y8z3)0 1
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Example 1
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Example 2
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Example 3a
Answer 1
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Example 3b
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Example 4a
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Example 4b
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Example 5
Read the Test Item A ratio is a comparison of
two quantities. It can be written in fraction
form.
Solve the Test Item
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Example 5 cont
Answer C
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Summary Homework

• Summary
• To divide two powers with the same base, subtract
  the exponents
• To find the power of a quotient, find the power
  of the numerator and the power of the denominator
• Any nonzero number raised to the zero power is 1
• For any nonzero number a and any integer n, a-n
  1/an and 1/a-n an
• Homework
• Pg. 421 14-36 even