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Chapter 7: Powers
Powers
Question | Answer |
---|---|
What is powering? | X to the nth power or nth power of x |
What is a example of repeated multiplication? | x^7 you would do x times itself seven times |
Product of powers postulate | For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents, b^m X b^n=bm+n |
Power of a power postulate | For any nonnegative bases and nonzero real exponets, or any nonzero bases and interger exponents, (b^m)^n=bm+n |
Zero exponent thereom | If b is a nonzero real number, b^0=1 |
Negative exponent thereom | For any postive base b and real exponent n, or any nonzero base b and integer exponent n, b^-n=1/b^n |
Annual compound interest thereom | 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. Than A=P(1+r)^t |