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1. Find the value of the exponent.

2. Multiply or divide normally.

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

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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

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

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.

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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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Yes, it does.

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

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

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.

When multiplying numbers with exponents, you add the exponents.

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

When multiplying exponents with the same base add them: x^3*x^2 = x^5 When dividing exponents with the same base subtract them: x^3/x^2 = x^1 or x

10^4 * 10^7 = 10^11 When multiplying exponents with the same base (in this case, 10), you add the exponents (4+7). If you were dividing, you'd subtract the exponents.

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