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Exponent Laws #4 and #5

Exponent Laws #4 and #5. 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”. In general x 0 = 1. 8. 1. x. 2. 2 3 =. 2 2 =. 4. 1. x. 2.

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Exponent Laws #4 and #5

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  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 generalx0 = 1 8 1 x 2 23 = 22 = 4 1 x 2 Continue the pattern 21 = 2 1 x 2 20 = 1

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

  5. 1 21 1 1 1 2 2 22 1 1 1 1 X 2 2 2 23 Is there a pattern? 2-1 = X = 2-2 = = 2-3 = X

  6. In GeneralX-n = 1 • When given a negative exponent, invert the term and change the negative exponent to a positive exponent Xn

  7. 2 -2 5 3 5 5 5 3 3 3 25 9 For example: 1 = 1 2-3 = 23 8 = = X =

  8. 1 1 32 9 Try some others (x4)(x3) = x7 (y4)5 = y20 3-2 = = (2x)3 = 8x3

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