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

Example 1: Determine whether each expression is a monomial. Explain your reasoning.

a. -17

c. 8f2g

b. 17 – s

d.

Rules of Exponents

Product of Powers Power of a Power

Example 2: Simplify each expression.

a. (r4)(-12r7)

c. (4ab6)(-7a2b3)

b. (5x7)(x6)

d. (6cd2)(5c5d2)

Example 3: Simplify each expression.

a. (x4)5

c. (2x5y)4

e. [(32)3]2

b. (r3)7

d. (3a2bc5)2

f. [(23)3]2

Example 4: Simplify each expression.

a. (4cd)2(-3d2)3 b. (2ag2)4(3a2g3)2

Assignment

Pg. 36112-28 even, 29, 32, 34