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Q: What are the rules of multiplying and dividing exponents?

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When multiplying something with exponents, you add it. When dividing something with exponents, you subtract it.

It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.

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You simply add the exponents to multiply and subtract them to divide.

Yes, it does.

When multiplying numbers with exponents, you add the exponents.

x^a / x^b = x^(a-b)andx^a * x^b = x^(a+b)

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 dividing numbers (or variables) subtract the exponents. Remember, an exponent indicates a kind of multiplication, it is the number of times that a number is multiplied by itself. If you are dividing by that same number, then clearly you are multiplying it by itself a fewer number of times. Division is the inverse function of multiplication.

You add exponents when multiplying. Ex: (xm) × (xn) = xm+n

If you are multiplying numbers with exponents, and the base is the same, you can just add exponents. For example, 104 x 105 = 109.

Multiply the mantissas, add the exponents. Normalize the result, if desired.

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