1. Find the value of the exponent.
2. Multiply or divide normally.
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It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
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One use is shorthand for large numbers, eg the mass of the earth is 5960000000000000000000000 kg , which can be expressed as: 5.96 * 1024 kg there are also rules for multiplying / dividing exponential numbers
When multiplying numbers with exponents, you add the exponents.
x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)