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**Aim: How do we divide monomials?**

10/4 Aim: How do we divide monomials? Do Now: List three things everyone should know about exponents.

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**Three things everyone should know about exponents.**

1) Parentheses matter: 2) Anything to the zero power equals 1. x0 = Well almost anything 3) Negative exponents do not negate the base they move it!

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**Three things everyone should know about exponents.**

1) Parentheses matter: 2) Anything to the zero power equals 1. x0 = Well almost anything 3) Negative exponents do not negate the base they move it!

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**Objectives Be able to divide polynomials**

Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

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**Vocabulary Monomial: A number, a variable, or the product of a number**

and one or more variables Constant: A monomial that is a real number. Power: An expression in the form xn. Base: In an expression of the form xn, the base is x. Exponent: In an expression of the form xn, the exponent is n. Quotient: The number resulting by the division of one number by another.

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**Review: Multiplying Monomials**

Product of Powers: When two numbers with the same base are multiplied together, add the exponents and leave the base unchanged. Power of a Product: In a product raised to a power, the exponent applies to each factor of the product.

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**Review: Multiplying Monomials**

Power of a Power: When a power is raised to another power, multiply the exponents and leave the base unchanged. Remember: Follow the order of operations when applying more than one property!

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**Quotient of Powers Simplify:**

Step 1: Rewrite the expression in expanded form Step 2: Simplify. Remember: A number divided by itself is 1.

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Dividing Monomials For all real numbers a, and integers m and n:

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Dividing Monomials Ex 1: Simplify using positive exponents only

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Dividing Monomials Ex 2: Simplify using positive exponents only

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Dividing Monomials Ex 3: Simplify using positive exponents only

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**Power of a Quotient Simplify:**

Step 1: Write the exponent in expanded form. For all real numbers a and b, and integer m: Step 2: Multiply and simplify.

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Fractions to a Power For all real numbers a and b, and integer m:

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Practice Ex 4: Simplify using positive exponents only

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Problem 1

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Practice Ex 5: Simplify using positive exponents only

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Problem Ahh! THINK! x2-2 = x0 = 1

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