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Algebra 72 Lesson with notes 2nd a.notebook
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72 Division Properties of Exponents
Learning Targets:I can divide monomials using the properties of exponents
I can simplify expressions containing negative and zero exponents
What is 102 when simplified?
What is 101 when simplified?
How could you use exponents to write the ratio of the height of a skyscraper that is 900 meters tall to the height of the tallest tree?
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Algebra 72 Lesson with notes 2nd a.notebook
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Dividing monomials, look for a pattern.
Algebra 72 Lesson with notes 2nd a.notebook
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Dividing like bases: subtract exponents
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Algebra 72 Lesson with notes 2nd a.notebook
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Example 1:
Simplify, assume that no denominator equals zero.
1. x7y12 2. x3y4 3. k7m10p x6y3 x2y k5m3p
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Product of powers rule
Algebra 72 Lesson with notes 2nd a.notebook
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Algebra 72 Lesson with notes 2nd a.notebook
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Example 2:
Simplify.
4. 4c3d2 3 5. 3x4 3 6. 5x5y 2 5 4 6
7. 2y2 2 8. 4x3 3 3z3 5y4
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Zero exponent: any nonzero number raised to the 0 power.
Any number divided by itself is 1, any number divided by itself has a 0 exponent.
Algebra 72 Lesson with notes 2nd a.notebook
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Algebra 72 Lesson with notes 2nd a.notebook
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Example 3:
Simplify each expression. Assume that no denominator equals zero.
9. 12m8n7 0 10. m0n3 11. b4c2d0 12. 2f4g7h3 0 8m5n10 n2 b2c 15f3g9h6
Jan 232:54 PM
Negative Exponents: any real number raised to a negative power.
Algebra 72 Lesson with notes 2nd a.notebook
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Algebra 72 Lesson with notes 2nd a.notebook
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Example 4:
Simplify each expression. Assume that no denominator equals zero.
13. x4y9 14. 75p3m5 15. v3wx2 z6 15p5m4r8 wy6
16. 32a8b3c4 17. 5j3k2m6
4a3b5c2 25k4m2
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Algebra 72 Lesson with notes 2nd a.notebook
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Algebra 72 Lesson with notes 2nd a.notebook
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