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chapter7

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Powering   EX) the expression x^n read "x to the nth power" or "nth power of the x."  
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Repeated multiplication   Meaning of a positive integer power. EX)x^7=xxxxxxx.  
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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  
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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  
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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  
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Zero exponent theorem   If b is a nonzero real number, b^0=1. Also,any number divided by itself equals one.  
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Annual compound interest formula   EQ)A=P(1+r)^t A varies directly as P but not directly as r.  
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General compound interest for mula   EQ)A=P(1+r/n)^nt.P=Amount invested and r=compound n=times per year.  
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Constant ratio   A geometric sequence, the ratio of successive terms in constant.So the constant multiplier is r.  
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