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7.1 Multiplying Monomials

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1 7.1 Multiplying Monomials
Algebra 1/2

2 Vocabulary Monomial: Examples:
The product of non-negative integer powers of variables.  Consequently, a monomial  has NO variable in its denominator.  It has one term.  mono implies one "nomial" is Greek for "part". *no negative exponents, no fractional exponents 13,    3x,    -57,     x²,     4y²,     -2xy,  or  520x²y² Monomial: Examples:

3

4 Example 1: Determine whether each expression is a monomial
Example 1: Determine whether each expression is a monomial. Explain your reasoning. -17 c. 8f2g b. 17 – s d.

5 Rules of Exponents Product of Powers Power of a Power

6 Example 2: Simplify each expression.
(r4)(-12r7) c. (4ab6)(-7a2b3) b. (5x7)(x6) d. (6cd2)(5c5d2)

7 Example 3: Simplify each expression.
c. (2x5y)4 e. [(32)3]2 b. (r3)7 d. (3a2bc5)2 f. [(23)3]2

8 Example 4: Simplify each expression.
(4cd)2(-3d2)3 b. (2ag2)4(3a2g3)2

9 Assignment Pg even, 29, 32, 34


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