or

or

taken

why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

Don't know
Know
remaining cards
Save
0:01

 Flashcards Matching Hangman Crossword Type In Quiz Test StudyStack Study Table Bug Match Hungry Bug Unscramble Chopped Targets

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

# c h a p t e r 7

### Powers

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 x n
Power of a Product 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)
Zero Exponent Theorem if b is a nonzero real number, b^0 = 1
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 A = P(1 + r)^t when P is the amount of money invested at an annual interest rate of r compounded annually. Let A be the total amount after t years.
General Compound Interest Formula Let P be the amount invested at an annual interest rate r compounded n times per year. Let A be the amount after t years. Then A = P(1 + (r/n))^nt
Explicit Formula for a Geometric Sequence In the geometric sequence with first term g*q and constant ratio r, g*n = g*1(r)^n-1
Number of Real Roots Theorem Every positive real number has: 2 real nth roots, when n is even. 1 real nth root, when n is odd. Every negative real number has: 0 real nth roots, when n is even. 1 real nth root when n is odd.
Created by: katelesperance