Example Of Exponential Form In Math

Where b b is called the base and x x can be any real number.

Example of exponential form in math. Any expression that includes an exponent is said to be written in exponential form. 8 2 could be called 8 to the power 2 or 8 to the second power or simply 8 squared. This sort of equation represents what we call exponential growth or exponential decay other examples of exponential functions include.

In 8 2 the 2 says to use 8 twice in a multiplication so 8 2 8 8 64. Therefore to express a number in exponential form the very first step is to write the number as the product of its prime factors. Let us take the example of the number 1260.

When multiplying or dividing the same base with exponents we add or subtract the exponents. If b b is any number such that b 0 b 0 and b 1 b 1 then an exponential function is a function in the form f x bx f x b x. The equation is y equals 2 raised to the x power.

Here are a few examples to familiarize you. The exponent of a number says how many times to use the number in a multiplication. To find the value of 3 3 3 2 the short form of 3 x 3 x 3 x 3 x 3 or 27 9 we add exponents to get 3 3 2 or 3 5 with a value of 243.

Converting to exponential form. Let s start off this section with the definition of an exponential function. I hope this helps penny.

We write it 5 5 5 53. Exponential form is a more compact way to write something like 5 5 5. The zero exponent is equal to 1 to satisfy a certain case in manipulating bases with exponents.