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Definition
| When you are multiplying two terms that have the same base, you can just add their exponents to find your answer |
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Definition
You can subtract the power in the denominator from the power in the numerator.
[Power of Numerator - Power of Denominator] |
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| Define The Negative Exponent Rule |
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Definition
| Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents. |
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Definition
| To raise a power to a power you need to multiply the exponents. |
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| Define The Distributive Property of Exponents |
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Definition
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
If an exponent acts on multiple terms in parentheses (i.e. if there is a "+" or "-" sign in the parentheses), it cannot be distributed. |
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How to Simplify An Expression So That No Negative Numbers End Up In the Result
(Assuming All Variables Are Non-Zero Numbers) |
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Definition
1.) Apply the Distributive Property of Exponents on The Numerator and Denominator
2.)Apply the Quotient Rule
3.)Apply the Negative Exponent Rule
4.)Simplify If Possible |
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| Define the Fractional Exponent Rule |
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Definition
| When You Are Presented with (x^(m/n), you must place "x" to the "m" power of the "n" root or the "n" root of x to the the power of "m". |
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| How to Simplify An Exponential Expression With A Fractional Power |
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Definition
1.) Apply the Fractional Exponent Rule
2.) Simplify |
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| How To Identify An Exponential Function |
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Definition
They Have The Form y=(ab^x)
Where "a" and "b" are constants
and "x" is a variable.
"ab" is the base
"x" is the exponent |
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| How to Evaluate Exponential Functions |
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Definition
1.) Replace "x", with the given value for "x"
2.) Simplify The Expression By Applying the Rules of Exponents |
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| How To Graph An Exponential Function |
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Definition
1.) Choose Random Values For X
2.) Compute Values For Y Based On The Values For X
3.) Plot the Points
4.) Connect Them Into A Smooth Curve |
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| How to Match A Graph To An Exponential Function |
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Definition
1.) Graph the exponential functions given
2.) Find the exponential functions that match the given graph |
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| Horizontal Shifts That Go Right Are Formatted As... |
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Definition
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| Horizontal Shifts That Go Left Are Formatted As... |
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Definition
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| If in the graph of a function x approaches -infinity as y approaches 0 then the horizontal asymptote is... |
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Definition
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| The Horizontal Asymptote is Where... |
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Definition
| The Visual Representation of a Function on A graph stops Vertically on A Graph, Represented by the Y-value Where the Visual Representation of the Function Stops on The Graph. |
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| A Negative in Front of a Function Indicates A Reflection of The Graph Over The... |
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