Exponential Functions Calculator

Introduction exponential functions  calculator:
Exponential function has the form of f(x) = b^x for a permanent base b which can be any positive real number. These exponential functions are defined by the fact that their rate of growth is proportional to their value.  Let us start with a population of cells so that its growth rate at any moment is proportional to its size. The number of cells after p years will then be a^p, an exponential function for some a>0.

How to Calculate Exponential Function:

The exponential function calculator is used to calculate the functions involving the exponential expressions.

Rules and examples:

These are the rules that should be followed by the exponential functions calculator.

 Rule1:  a^xa^y = a^{x + y}

           a^x , here the x is called exponential function Example: 2³2⁵ = 2³⁺⁵ = 2⁸

 Rule 2:  (a^x)^y = a^xy

            Ex: (4²)⁵ = 4¹⁰

 Rule3:  (ab) ^x = a^xb^x

           Ex: (3*7)³ = 3³7³

 Rule 4:  (`(a)/(b)` ) ^x = `(a^x)/(b^x)`

           Ex: (`(3)/(5)` )³ = `(3^3)/(5^3)`

 Rule 5: `(a^x)/(a^y)` = a^{x - y}

           Ex: `(5^7)/(5^4)`  = 5³

Ex 1:Simplify: 3^x - 3^{x + 1}

Solution:Step 1: Use rules:

Here apply rule1: 3^{x + 1} we can wriiten as 3^x3¹ in the given expression

so , 3^x - 3^{x + 1} written as 3^x - 3^x3¹

Step2: Factor 3^x out (take common term)

            = 3^x (1 - 3)

It provides the easy method of calculating the exponential functions using the exponential functions calculator.

Calculating Exponential Functions Using Calculator:

Ex1: Use this button in calulator for find exponential function.. Following points are showing how to use exponential function in a calculator.

Step 1: find the exponential value for (1.03E2)

Step 2: (1.03E2) the number is  1.03 x 10² so 

Step 3: press the following buttons.

                      1.03 EXP 2    

Step 4 : therefore answers is 103.

Ex 2: Step 1: find the exponential value for (12.3E5)

Step 2: (12.3E5) the number is  12.3 x 10⁵ so

Step 3: press the following buttons.

                      12.3 EXP 5  

Step4 : Therefore the answer is 123000