Examples - Powers of Ten

Example 1.4:
a. 1/1000 = 1/10^+3 = 10^-3
b. 1/0.00001 = 1/10^-5 = 10^+5

Example 1.5:

a. 1000 x 10,000 = 10^3 x 10^4 = 10^(3+4) = 10^7
b. 0.00001 x 100 = 10^-5 x 10^2 = 10^(-5+2) = 10^-3

Example 1.6:
a. 100,000 / 100 = 10^5 / 10^2 = 10^(5-2) = 10^3
b. 1000 / 0.0001 = 10^3 / 10^-4 = 10^(3-(-4)) = 10^(3+4) = 10^7

Example 1.7:
a. 100^4 = (10^2)^4 = 10^(2x4) = 100^8
b. 1000^-2 = (10ç3)^-2 = 10^(3-2) = 10^-6
c. 0.01^-3 = (10^-2)^-3 = 10^(-2x-3) = 10^6