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

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

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.

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.

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.

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!

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.

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

Apply quotient of powers. Apply power of a quotient. Apply quotient of powers Apply power of a quotient Simplify Apply power of a power

1. 2.

THINK! x 2-2 = x 0 = 1

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