Are you having trouble learning exponential forms and want to learn more about them? You have come to the right place! In this post, we will tell you everything you need to know about exponential form, including how to write, simplify, and determine it. Just read on, and you will feel like having a lesson

1. Exponential Form: How to Write and Determine?
Are you having trouble learning exponential forms and want to learn more
about them? You have come to the right place! In this post, we will tell
you everything you need to know about exponential form, including how
to write, simplify, and determine it. Just read on, and you will feel like
having a lesson from a professional tutor!
What is Exponential Form?
The concept of the exponential form may sound confusing, but it is
effortless instead. It is simply a shortcut to writing numbers that are
being multiplied by themselves more than one time. The exponential form
contains base and exponents, and it helps in simplifying an equation.
Example of Exponential Form:

2. For example,
If an equation is 6 x 6 x 6 x 6, then its exponential form will be:
64 .
In this, 6 will be the base, and 4 will be the power. Power will determine
or identify how many times the base number is being multiplied.
How to Write in Exponential Form?
We can convert almost all the Mathematics expressions into Exponential
form to cover the repeated multiplication. The most typical expression of
exponential form will look like this:
• 5 x 5 = 52
• 8 x 8 x 8 = 83
• 3 x 3 x 3 x3 x3 = 35
Now, if we want to reverse these expressions, they will be like these:
• 25 = 5 x 5 = 52
• 512 = 8 x 8 x 8 = 83
• 243 = 3 x 3 x 3 x 3 x3 = 35
This reversing situation is used to factor out the numbers in numerical
problems.
You can also use exponential equations and exponents to simplify and
rewrite large numbers. This process is called the Standard Exponential
Form.

3. For example, we have a number 534,000; we are going to simplify it like
this:
• 5.34 x 10,000 = 5.34 x 104
This exponential form mentioned above is known as scientific notation. To
find the power of a large number, all you need to do is count the zeroes.
10,000 had four zeroes in it so that the power would be 104
.
To help you have a better understanding, here is a detailed table of the
three forms used to represent numbers:
Standard Form Factor Form Exponential Form
6 1 x 6 61
100 2 x 2 x 5 x 5 22
x 52
256 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 28
How to Convert Exponential form to Logarithmic
Form?
You can even convert the exponential form into logarithmic form with a
straightforward and easy-peasy procedure. The logarithmic formula is:
• If ea
= b, then loge b = a.
Here is an example:
If we have an exponential form of 6 2
= 100, here, b = 100, a = 2, an d e = 6.
The logarithmic form of this equation will be:
log6 100 = 2.
How to Convert Exponential Form to Radical Form?

4. To convert an exponential form into a radical form, we use the formula:
• xm / n
= n
√xm
The √ symbol is radical, and it represents the nth roots. To do the
conversion, we have to shift the denominator of the exponent to the left
side of the radical. Also, the numerator will change into the power of the
radical.
For example, if we have an expo nential form of 93 / 4
, then its radical form
would be 4
√93
.
To better understand the concept of Exponential Forms and how to solve
its questions, here is a detailed video explanation:
Final Words
I hope we made the concept of the Exponential Form clear for you.
However, if you still have any doubts or confusion, pl ease contact us and
request a professional Mathematics Tutor for more clarification.