1. Exponent Laws #4 and #5

2. These laws are generated (and understood) by extending an accepted numerical pattern… The second tier of the exponents laws takes us beyond the range of “common visualization”

3. In general x 0 = 1 2 3 =8 2 2 =4 2 1 = 2 Continue the pattern 2 0 = 1 2 x 1 2 x 1 2 x 1

4. This law holds true for any number! Any number to the exponent zero always reduces to 1 Continue the previous pattern..

5. Is there a pattern? 2 -1 = 1 2121 2 -2 = 1 2 1 2 X= 2 -3 = 1 2 X 1 2 1 2 X = 12 1 2323

6. In General X -n = 1 When given a negative exponent, invert the term and change the negative exponent to a positive exponent XnXn

7. For example: 2 -3 = 1 2323 = 1 8 3 5 -2 = 5 3 2 5 3 = 5 3 X = 25 9

8. 3 -2 = 1 3232 = 1 9 (2x) 3 =8x 3 (x 4 )(x 3 ) =x7x7 (y 4 ) 5 =y 20 Try some others