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This Topic Found In:

  • Pre-Algebra
  • Factors, Fractions, and Exponents
  • Properties of Exponents

This topic is in the 'Factors, Fractions, and Exponents' section. Every integer out there can be split up into separate factors, and this is an important skill to learn first with numbers, and later with more complicated algebraic expressions. One of the faster ways of factoring a number is dividing out simple numbers, and we have some tutorials in this section that teach you basic divisibility tricks. Once you get comfortable with factoring numbers, you'll have a much easier time working with fractions, specifically with simplifying fractions. All you have to do when you simplify fractions, after all, is find what factors are shared between the numerator and denominator, and then cancel out those shared factors. Now while factors stress taking a number and breaking it up into smaller pieces, exponents stress taking a number or variable and building up a bigger number by repeated multiplication. At first it feels like there are a lot of special rules to learn with exponents. However, the rules that we learn are just shortcuts that follow as a result of repeated multiplication, and as you use these rules you'll start to see why they work. The really cool thing is that exponents in a sense turn multiplication and division into addition and subtraction, so there is something very unifying about exponents that sometimes gives people a tingly feeling. Try going through some of the tutorials in this section and hopefully with time, you'll see the beauty behind exponents.

This topic, Rules of Exponents, is a part of Properties of Exponents.

Other topics in Properties of Exponents: