Powers of Ten - with example problems

Here we go over how to navigate Powers of Ten situations, with example problems.

0:00 Intro with immediate summary/tip - working with Powers of Ten just follows the standard rules of working with exponents (exponentiation if you want the fancy word).
0:23 Change between positive and negative exponents by switching positions in the fraction.
1:26 Add exponents together when the base is the same.
1:48 Multiply exponents when there is an exponent on another exponent.
2:10 Anything to the zero (zeroeth?) power is 1 (one).
2:22 Overview of example problems
2:43 Example 1 - Show 1/(10^-x) = 10^x
5:26 Converting between Powers of 10 and Standard Numbers (writing out all the zeroes (or is it zeros? whatever)!
7:19 Example 1 solved with a standard number approach instead of Powers of Ten
8:22 Example 2 - Show 1/(10^x) = 10^-x
9:38 Example 3 - Show (10^a)*(10^b) = 10^(a+b)
14:44 Example 4 - Show (10^a)^b = 10^(ab)
18:27 Example 5 - Solve (10^3 * 10^-4 * 10^7)/(10^9 * 10^-2 * 10^1 * 10^0)