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Ch 7 Algebra 2
Powers
Question | Answer |
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Product of Powers Postulate | For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents b^m x b^n = b^m+n |
Power of a Power Postulate | For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents (b^m)^n = b^ m-n |
Power of a Products Postulate | for any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents (ab)^m = a^m b^m |
Quotient of Powers Postulate | b^m/b^n = b^m-n |
Power of a Quotient Postulate | (a/b)^m = a^m/b^m |
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 | P= amount of money invested at an annual interest r= interest rate compounded annually A= total amount t= years A= P(1 + r) ^t |