7.1 ­ Multiplication Properties of Exponents
Thursday, January 12, 2017
Students multiply monomials using properties of exponents and simplify expressions using the multiplication properties of exponents.
Simplify each expression.
3x + 2x ­7(6k + 4) + 8(k ­ 3)
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7.1 ­ Multiplication Properties of Exponents
3x + 2x5 ­7(6k + 4) + 8 (k ­ 3)
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7.1 ­ Multiplication Properties of Exponents
Vocabulary ­ Chapter 7
Monomial ­ A number, a variable, or the product of a number and one or more variables with nonnegative integers exponents
Constant ­ A monomial that is a real number.
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7.1 ­ Multiplication Properties of Exponents
Monomial or No?
Monomial
No
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7.1 ­ Multiplication Properties of Exponents
NOT A MONOMIAL
Division by a variable ... makes it not a monomial... we will learn why soon!
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7.1 ­ Multiplication Properties of Exponents
Recall....
n
An expression of the form x is called a power and represents the result of multiplying x by itself n times. x is the base, and n is the exponent.
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7.1 ­ Multiplication Properties of Exponents
Products of Powers.
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Rule #1
n
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Raising a Power to a Power
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7.1 ­ Multiplication Properties of Exponents
Rule # 2
n
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7.1 ­ Multiplication Properties of Exponents
Raising a Product to a Power
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7.1 ­ Multiplication Properties of Exponents
Rule #3
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