exponential equality

[sozener1]

is this correct? e^(-x) = 1/e^x

 

[Deleted member 4993]

is this correct? e^(-x) = 1/e^x

Yes

In general,

\(\displaystyle a^{-b} = \dfrac{1}{a^b}\)

 

[sozener1]

Yes

In general,

\(\displaystyle a^{-b} = \dfrac{1}{a^b}\)

hey but isn't this power of x of an exponential which is different from a^(-b)

 

[HallsofIvy]

So what? "x" represents some number, just like "a" or "b".

 

[Quaid]

isn't this power of x of an exponential …

That doesn't sound right. :wink:

e^x and e^(-x) are not powers of x of an exponential.

Powers of x look like x^n, for some constant n.

Just say, "isn't this exponential …".

Cheers

 

[HallsofIvy]

I am puzzled by this- you have posted a number of questions in the "Calculus" section but the questions all involve rather basic algebra. What course are you taking?

 

[sozener1]

I am puzzled by this- you have posted a number of questions in the "Calculus" section but the questions all involve rather basic algebra. What course are you taking?

right now in my course we are doing differential equation

 

[pka]

right now in my course we are doing differential equation

I am with Halls on this one.
How in the world are you doing differential equations when you appear to be thoroughly confused with basic algebra let alone caculus?