Multiplying Monomials

Monomial – Any number, or variable, or product /quotient of numbers and variables. Ex: 6x 6x - x 2 y 2 - y 2 z 3 ½xy In an expression, Monomials are separated by PLUS or MINUS signs.

For any number “a” and all integers “m + n” …… When the problems look like this, just add the exponents. When the problems look like this, multiply the exponents. When the problems look like this, distribute the outside exponent then multiply.

1) What’s the rule? 2) When the problems look like this, just add the exponents. If the exponent is negative, it is on the wrong side of the fraction bar!! Move it to the opposite side.

3) Same rule as before!! If the exponent is negative, it is on the wrong side of the fraction bar!! Move it to the opposite side. The exponent Is now positive

4) Same as before, just multiply the coefficients first! 5) Distribute First !!!

When the problems look like this, multiply the exponents. 6) 7) Watch Out !! Negative Exponent Distribute The Exponent

8) Distribute The Exponent

9) Distribute The Exponents First!! Remember this rule? ADD the exponents

10) Distribute The Exponents First!! Don’t forget To ADD the Exponents Here!