An Introduction to Exponential Functions

From Thinkwell's College Algebra
Chapter 6 Exponential and Logarithmic Functions, Subchapter 6.1 Exponential Functions

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Why does a negative exponent go to reciprocal?

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[@klaasdeboer8106]

I do not understand why 1 elevated to the Xth powers should be excluded from the set of exponential functions, even if you let "a" go down from a number bigger than one to a positive number smaller than 1 nothing special happens, except for he fact that 1 elevated to the xth power is a straight horizontal line. Why should this horizontal line not be a member of the set of exponential functions?

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What if the f for example is -2 and the exponent is -x???

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[@vaioskoutis7998]

wait isn't 1^0 =0? I am a bit confused

[@kanyamagaraabdallah8300]

Merci oui ca va , je croirs que ce video est fiable sur cette lecons de l´exponentiale!

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[@jeromesalada9131]

You're wrong when u say the base can't be negative. The base can be negative. x is independent variables y is dependent variables. y = (-2)^x for example. If I give 2 as the value of x so y = (-2)^2 so y = -2 x -2 , y = 4

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any base raise to any power either positive or negative the answer is always positive. bases must be positive when evaluating exponential and logarithmic functions. just like square root you can't take the roots of negatives.

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The base can't be negative and still be an exponential functions in terms of a basic exponential function.

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