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Algebra 2 Ch. 7

Ch.7

QuestionAnswer
Negative Exponent Theorem For any positive base b and real exponent n, or any nonzero base b and integer exponent n, b^-n = 1 / b^n
Annual Compound Interest Formula Let P be the amount of money invested at an annual interest rate of r compounded annually. Let A be the total amount after t years. Then A = P(1 + r)^t
General Compound Interest Formula Let P be the amount invested at an annual interest rate r compounded n times per year. Let A be he amount after t years. Then A = P(1 + r/n)^nt
Geometric Sequence If each term after the first is found by multiplying the previous term by a constant, a geometric or exponential sequence is formed.
Powering or Exponentiation The expression x^n is read "x to the nth power" and is the result of an operation called powering. The variable x is the base, n is the exponent, and x^n is a power.
Power of a Power Postulate For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents, (b^m) = b^m*n
Product of Powers Postulate For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents, b^m * b^n = b^m+n
Power of a Product Postulate (ab)^m = a^mb^m
Created by: Nickp2396