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Dividing Monomials

Dividing Monomials. Objectives. Be able to divide polynomials Be able to simplify expressions involving powers of monomials by applying the division properties of powers. Vocabulary. Monomial: A number, a variable, or the product of a number and one or more variables.

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Dividing Monomials

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  1. Dividing Monomials

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

  3. 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.

  4. Review: Exponents Repeated multiplication can be represented using exponents. To expand a power, use the exponent to determine the number of times a base is multiplied by itself.

  5. 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.

  6. 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!

  7. Quotient of Powers Simplify: Step 1: Rewrite the expression in expanded form Step 2: Simplify. For all real numbers a, and integers m and n: Remember: A number divided by itself is 1.

  8. 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.

  9. Example Problems Apply quotient of powers Apply power of a quotient Apply quotient of powers. Apply power of a quotient. Apply power of a power Simplify

  10. Practice 1. 2.

  11. Problem 1

  12. Problem 2 THINK! x2-2 = x0 = 1

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