Step By Step Procedure on How to solve Exponent


Nowadays students are scared of mathematics as you can’t mug it up so you have to understand the basics and concepts of mathematics thoroughly to solve the mathematics problems. Exponent is also one of those problems. Exponent is basically the power of any number and here power refers to the time number is multiplied by itself. Like you have an expression 4 x 4 x4 x 4 x 4  then you can write it as 45  here the term 4 is base and 5 is the exponent. If you are struggling with how to solve exponent then you can follow the given steps. 

What is Exponent?

Suppose you have to write 2 x 2 x 2 x 2 x 2 and instead of writing x 2 for multiple times you can just write 25. This is called exponent or power. 

Exponent in mathematics is basically used when one number is multiplied by itself for multiple times as you can see in the example. 

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Importance of Exponent

If you are searching for how to solve exponent then first you need to understand the significance of Exponent. 

It is important as you don’t need to write complex expressions and for example you need to multiply 4 by 4 firstly 1000 times then it will become complex expression softened instead of writing if for 1000 times you can just write 41000.  Thus you can easily write complex expressions and it is also very easy to add or subtract any exponent in order to simplify the equations. For example you have under given problem – 

46  + 49 = 415.

Steps on How to solve Exponent 

Learn the vocabulary 

Terminologies used in Exponents – 

Let’s understand the terms through an example that is 45.

Here 4 is called base and 5 is called exponent or power. 

If you want to read it out then you can say it is “four to the fifth” or “four to the fifth power” or “four raised to the fifth power”.

Unless you know the vocabulary of exponent you will always be stuck with how to solve exponent.

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One more interesting thing to learn here is that if a number has an exponent 2 like 42 then  you  can  simply call the number squared that is 4 squared. 

Likewise, if a number is cubed then you can say it as the number is cubed. For example 43 then you can say it as 4 cubed. 

Suppose any number is written like 4or 5 then are these numbers have any exponent? Then the answer is yes. They have 0 in exponent. Thus you can write numbers such as 40.

Multiply the base with the number of factors given in exponent – 

The next step in how to solve exponent is to multiply the base by the base number only and to the times mentioned in exponent. 

Let’s assume you need to solve the exponent by hand and your number is 43. Now you can solve it by writing the number with multiplication for the times mentioned in exponent. 

43 = 4 x 4 x 4

= 64.

64 is the answer. 

Solve the expression

The next step in how to solve exponent is to solve the expression. Let’s say the expression is  35. So now can write is as follows –

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35 = 3 x 3 x 3 x 3 x 3

So now you will multiply the first two numbers and then the other two numbers and then you will get the results accordingly.

= 9 x 9 x 3

Multiply the answers –

After multiplying the two digits now you are required to multiply the remaining expression to get the exact answer. So in the expression you will multiply 9 by 9 and then you will get 81 and then you will have to multiply 81 with 3 and then you will get the result 243. Look at below –

35 = 3 x 3 x 3 x 3 x 3

= 9 x 9 x 3

= 243.

In this way you will get the final answer and thus your question how to solve exponent is hereby solved.

Examples – 

Let’s take other examples – 

1. 84 = 8 x 8 x 8 x 8 = 64 x 64 = 4096

2. 103 = 10 x 10 x 10 = 100 x 10 = 1000


Students get scared even with the name of mathematics so they frequently ask how to solve different topics in maths and how to solve exponent is one of them. So if you are also facing such issues and want to pay someone to do math homework then refer to these steps and try to understand the concept instead of mugging up questions. Get the best help with math homework from the experts.