What is Exponential Form?

We all must have heard the word “exponential” before. What does this word mean? Exponential means to become more and more rapid in growth. However, in mathematics, it represents a mathematical expression that has one or more exponents. Hence, we know it as an exponential form.

We can say that a thing may increase with an exponential rate when the increase becomes quicker and quicker as the thing which is talked about becomes larger.

Now let us learn more about the exponential form of numbers which is greatly used and applied in mathematics.

Exponential form

Source: VirtualNerd

Exponential Form

As we discussed earlier that it involves a number of the numerical terms expressed in exponents. Let us take the example of the number 1000.

We can write 1000 as 10x10x10, but instead of writing 10 three times we can write the number 1000 in an alternative way too.

1000 = 10 x 10 x 10

1000 = (10)3………..(exponential form)

Let us take another example to further clarify the concept of expressing a number in exponential form.

Let us take the example of a number 576895.

Now we can express this number in the following ways

576895 = 5×100000 + 7×10000 + 6×1000 + 8×100 + 9×10 + 5×1

576895= 5 x 105 + 7×104 + 6×103 + 8×102 + 9×101 + 5x 100

The last term which includes 100 can simply be written as 1 because any number when expressed raising it to the power of 0 it equals 1.

Therefore we can clearly say that exponents simply refer to how many times a particular number appears in a numerical term.

Let us take the example of number 32. We can write the number 32 in any one of the following ways

32= 2x2x2x2x2

Or

32= 25

When we express a number in the exponential form then we can say that its power has raised by the exponent. In the above-mentioned example, 25 will be called as 2 to the power 5 or 2 raised to the power of 5.