ax * ay = a(x+y) Example: z2 * z3 = z5 (ax)y = axyExample: (z2)3 = z6 ax/ay = a(x-y) Example: z3/z2 = z1 = z
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Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
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
1. Find the value of the exponent. 2. Multiply or divide normally.