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Powers

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
        Help!  

Question
Answer
Powering   x^n  
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Base   the variable, x for example  
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Exponent   the power, n for example  
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Identity Function   x^1  
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2nd Power, Squaring   x^2  
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Cubing   x^3  
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Product of Powers   b^m x b^n = b^m+n  
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Power of a Power   (b^m)^n = b^mXn  
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Power of a Product   (ab)^m = a^m x b^m  
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Quotient of Powers   b^m/b^n = b^m-n  
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Power of a Quotient   (a/b)^m = a^m/b^m  
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Zero Exponent   b^0 = 1  
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Negative Exponent   b^-n = 1/b^n  
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Compounding   interest earns interest each year  
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Annual Compound Interest Formula   A=P(1+r)^t  
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General Compound Interest Formula   A=P(1+t/n)^nt  
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Constant Ratio   constant multiplier, r  
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Explicit Formula for a Geometric Sequence   Gn=G1(r)^n-1  
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B is the nth root of x only if   b^n=x  
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1/n Exponent Theorem   when x is greater than or equal to 0 and n is an integer greater than one, 1/x^n is an nth root of x  
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Number of Real Roots   POSITIVE REAL NUMBERS: n is even = 2 real nth roots n is odd = 1 real nth root NEGATIVE REAL NUMBERS: n is even = 0 real nth roots n is odd = 1 real nth root  
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