7.1 Multiplying Monomials Algebra 1/2

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:  

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.

Rules of Exponents Product of Powers Power of a Power

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

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

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

Assignment Pg. 361 12-28 even, 29, 32, 34