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order of magnitude

the power of 10 nearest a quantity

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power

the number of times a quantity is used as a factor

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exponent

a mathematical notation indicating the number of times a quantity is used as a factor

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base

the number or expression that is used as a factor in a repeated multiplication

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Product of Powers Property

to multiply powers having the same base, add the exponents

a^m x a^n = a^m+n

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Power of a Power Property

to find a power of a power, multiply exponents

(a^m)^n = a^mn

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Power of a Product Property

to find a power of a product, find the power of each factor and multiply

(ab)^m = a^m b^m

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Quotient of Powers Property

to divide powers having the same base, subtract exponents

a^m/a^n = a^m-n

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Power of a Quotient Property

to find a power of a quotient, find the power of the numerator and the power of the denominator and divide

(a/b)^m = a^m/b^m

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Zero Exponent

a to the zero power is 1

a^0 = 1

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Negative Exponent

a^-n is the reciprocal of a^n

a^-n = 1/a^n

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cube root

the base of a cube (a quantity to the power of 3)

b^3 = a, then b is the ___ ___ of a

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scientific notation

a number in the form c x 10^n

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exponential function

a function in the form y = ab^x; nonlinear

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exponential growth

a graph that rises from the left;when a quantity grows exponentially, represented by y = ab^x

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initial amount

what "a" represents in the model y = a(1 + r)^t

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growth factor

what "1 + r" represents in the model y = a(1 + r)^t

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growth rate

what "r" represents in the model y = a(1 + r)^t

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time period

what "t" represents in the model y = a(1 + r)^t

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compound interest

interest earned on both an initial investment and on previously earned interest

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exponential decay

a graph that falls from left to right, represented by the function y = ab^x

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decay factor

what "1 - r" represents in the model y = a(1 - r)

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decay rate

what "r" represents in the model y = a(1 - r)

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