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

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Presentation on theme: "Aim: How do we divide monomials? Do Now: List three things everyone should know about exponents. 10/4."— Presentation transcript:

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

2 Three things everyone should know about exponents. 1) Parentheses matter: 2) Anything to the zero power equals 1. x 0 = 1 Well almost anything 3) Negative exponents do not negate the base they move it!

3 Three things everyone should know about exponents. 1) Parentheses matter: 2) Anything to the zero power equals 1. x 0 = 1 Well almost anything 3) Negative exponents do not negate the base they move it!

4 1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

5 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 x n. Base: In an expression of the form x n, the base is x. Exponent: In an expression of the form x n, the exponent is n. Quotient: The number resulting by the division of one number by another.

6 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.

7 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!

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

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

10 Dividing Monomials Ex 1: Simplify using positive exponents only

11 Dividing Monomials Ex 2: Simplify using positive exponents only

12 Dividing Monomials Ex 3: Simplify using positive exponents only

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

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

15 Ex 4: Simplify using positive exponents only

16

17 Ex 5: Simplify using positive exponents only

18 THINK! x 2-2 = x 0 = 1


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