The Laws of Exponents

TN State Standards: 8th Grade                            Approximate Time:  5 days

Work with radicals and integer exponents:

1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 32 x 3–5 = 3–3 = 1/33 = 1/27.

2. Use square root and cube root symbols to represent solutions to equations of the form x 2 = p and x 3 = p, where p is a positive integer.

Law	Example
x1 = x	61 = 6
x0 = 1	70 = 1
x-1 = 1/x	4-1 = 1/4
xmxn = xm+n	x2x3 = x2+3 = x5
xm/xn = xm-n	x6/x2 = x6-2 = x4
(xm)n = xmn	(x2)3 = x2×3 = x6
(xy)n = xnyn	(xy)3 = x3y3
(x/y)n = xn/yn	(x/y)2 = x2 / y2
x-n = 1/xn	x-3 = 1/x3

(http://www.mathsisfun.com/algebra/exponent-laws.html)

ARTIFACT

Goal:  TSW memorize the nine Laws of exponents.
Objectives:

1. TSW create a mind map using Mindmeister.com that takes the above information and organizes it into a way that is meaningful to him or her.  
2. TSW complete the worksheet, "Exponent Rules and Practice." 
3. TSW complete a series worksheets created on Math Aids.com.
4. TSW will complete the exercises on IXL: F1-F19 (depends on access to computer lab or other resources.)