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EXPONENTIAL NUMBERS - Coggle Diagram
EXPONENTIAL NUMBERS
EXPONENTS
Exponent - the number of times a quantity is multiplied by itself. For example, in the expression 23, the number 3 is the exponent. Power - a synonym for exponent.
For example, if one were to say, "raise 3 to the 4th power," the base would be 3 and the exponent (or power to which 3 is raised) would be 4.
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SUBTRACTION
Subtraction of exponents really does not involve any a rule. If a number is raised to a power. You simply compute the result and then perform the normal subtraction. If both the exponents and the bases are the same, you can subtract them like any other like terms in algebra.
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POWER
The result is a single exponential where the power is the product of the original exponents: (xa)b=xab. We can see this result by writing it as a product where the xa is repeated b times: (xa)b=xa×xa×⋯×xa⏟b times.
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MULTIPLICATION
When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.
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DIVISION
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
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CUB NUMBERS
A cube number is a number multiplied by itself 3 times. This can also be called 'a number cubed'. The symbol for cubed is ³.
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ADDITION
Adding exponents is done by calculating each exponent first and then adding: The general form such exponents is: a n + b m.
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