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chapter7
Question | Answer |
---|---|
Powering | EX) the expression x^n read "x to the nth power" or "nth power of the x." |
Repeated multiplication | Meaning of a positive integer power. EX)x^7=xxxxxxx. |
Products of powers 1 | For any nonnegative bases and nonzero real exponets, or any nonzero bases and integer exponents,b^m times b^n=b^m+n |
Products of powers 2 | For any nonnegative bases and nonzero real exponents,or any nonzero bases and integer exponents, (b^m)^n=b^m times n |
Products of powers 3 | For any nonnegative bases and nonzero real exponents, or any nonzero bases and integer exponents,(ab)^m=a^m b^m |
Zero exponent theorem | If b is a nonzero real number, b^0=1. Also,any number divided by itself equals one. |
Annual compound interest formula | EQ)A=P(1+r)^t A varies directly as P but not directly as r. |
General compound interest for mula | EQ)A=P(1+r/n)^nt.P=Amount invested and r=compound n=times per year. |
Constant ratio | A geometric sequence, the ratio of successive terms in constant.So the constant multiplier is r. |