This document defines terms related to exponents and laws of exponents. It discusses: 1) The product rule for exponents with the same base, which is to keep the base and add the exponents. 2) The power rule for exponents, which is to keep the base and multiply the exponents when a power is raised to another power. 3) The power of a product rule, which is to find the product of each factor and multiply the resulting power when a product is raised to a power. It also discusses multiplying a monomial and polynomial by keeping each term of the polynomial and multiplying it by the monomial.

1. DEFINITIONOFTERMS
CONSTANT
VARIABLE
COEFFICIENT
TERM

2. PRODUCTOF
MONOMIALS

3. LAWSOFEXPONENT
I.PRODUCTRULEOFEXPONENT(PRODUCTWITHTHESAMEBASE)
1.) am  an
2.) b2  b3
3.) m5  m7  m9
4.) (ab3) (a7b) (ab)
- to multiply powers having the same base, keep the base and add the
exponent.

4. LAWSOFEXPONENT
I.PRODUCTRULEOFEXPONENT(PRODUCTWITHTHESAMEBASE)
6.) 3m2  -2m3  4m7
7.) (2mn5) (-2m3n) (3m3n2)
5.) 4x7  5x2
- to multiply powers having the same base, keep the base and add the
exponent.

5. LAWSOFEXPONENT
II.POWERRULEFOREXPONENT(POWERRAISEDTOAPOWER)
1.) (am)n
2.) (x3)4
3.) (a4)5
4.) (22)3
- to find the power of a power of a base, keep the base and multiply the
exponents

6. LAWSOFEXPONENT
III.POWEROFAPRODUCTRULE(PRODUCTRAISEDTOAPOWER)
1.) (ab)n
2.) (xy)2
3.) (mn2)5
4.) (a4b5)2
- to find the power of a product, find the product of each factor and then
multiply the resulting power.

7. LAWSOFEXPONENT
III.POWEROFAPRODUCTRULE(PRODUCTRAISEDTOAPOWER)
5.) (2x2)3
6.) (3a2b6c4)3
- to find the power of a product, find the product of each factor and then
multiply the resulting power.

8. PRODUCTOFMONOMIALANDPOLYNOMIAL
1.) 5x(x + 4)
2.) 6x2(3x + 9)
- to multiply a polynomial by a monomial, multiply each term of the
polynomial by the monomial.
3.) 4xy(5x2y3-2xy4-3y5)