Yes.
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The first derivative of e to the x power is e to the power of x.
The number is being multiplied by itself. For example, 11( 1 to the first power) is the same as this: 1 x itself,1. This applies to any other number... 4 (41 is the same as itself).Actually, the reason is in the definition of exponentiation.an means a x a x a x... x a (n times)a1= aa2= a x aa3= a x a x aetc.As you can see, any number to the power of one is, by definition, the same number. In this case no multiplications are involved.
The square root of x squared is x, or x to the first power.
That's the same as 1 divided by (x to the power 3).
Yes. Of course. x to the power of two is x2 and x squared is x2