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Algebra 7-1 and 7-2

Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

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Page 1: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Algebra

7-1 and 7-2

Page 2: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Monomials

• DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents.

• Helpful hints: a monomial is on e term, if there is addition or subtraction it is not a monomial, if there is a variable in the denominator it is not a monomial

• Ex. 1

Page 3: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Product of Powers

• To multiply powers with the same base, ________ the exponents

• Ex. 2

Page 4: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Power of a Power

• To find a power or a power, _________ the exponents.

• Ex. 5

Page 5: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents
Page 6: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Dividing Monomials

• To divide powers with the same base, __________ the exponent

• Ex. 1

Page 7: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Power of a quotient

• To find the power of a quotient, find the power of the numerator and the power of the denominator.

• Ex. 2

Page 8: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Special rule

• Anything to the zero power is ONE.• Ex. 3a, 3b

Page 9: Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents

Negative Exponents

• Ex. 4a