It wasn't necessary to 'create' any rules. They
follow logically from the definition of exponents.
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1. Find the value of the exponent. 2. Multiply or divide normally.
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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
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
there are different rules to follow on how to multiply and divide algebraic expressions. but its basics concerns on what kind of terms you are using and the deep concern about its exponents. when you multiply or divide, it is very basic to utilize the distributive method, exponents are being added when we multiply, while subtracted when we divide.