1. Section 5.1a Monomials

2. Def: A monomial is an expression that is a number, a variable or the product of a number and one or more variables. Constants are monomials with no variables 3, Examples: x3,x3,5xyz Coefficient Exponent

3. Def: The degree of a monomial is the sum of the exponents of its variables. Examples: x2x2 y3zy3z 2w 5 4 2nd degree 4th degree (3 + 1 = 4) 5th degree 0th degree

4. Rules of Exponents 1.a 0 = 2. a m a n = 3. a -n = 1 a m+n Why ? 1/(a n) Why ? = a (1-1) = a 0 a2a3a2a3 = aaaaa = a -2 = a 5

5. Rules of Exponents 4.a m ÷a n = 5.(a m ) n = 6. a (m/n) = a (m-n) a mn Why ? = a 1 = a 8 Why ?

6. 1. Simplify 2. 3. 4. Add the exponents Subtract the exponents Add the exponents Multiply the coeficients Add the exponents

7. Remember: division is multiplying by the reciprocal If you have a negative exponent in a fraction “flip” it and make the exponent + and

8. Simplify 5. 6. 7.

9. Homework Page 259 Problems: 19-45 (odd)