1. Find the value of the exponent.
2. Multiply or divide normally.
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
Combining laws of exponents refers to the rules that govern the manipulation of expressions involving powers. Key laws include the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). These rules help simplify expressions and solve equations involving exponents efficiently. Understanding these laws is essential for working with algebraic expressions in mathematics.
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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.
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
When multiplying numbers with exponents, you add the exponents.
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.
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.
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.