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Exponent Calculator
To calculate n raise to the power of x (x^{n}), enter the value of base and exponent in the given input boxes and hit the "calculate" button of this exponent calculator
Exponent Calculator
Exponents Calculator or e calculator is used in solving exponential forms of expressions. It is also known as raised to the power calculator.
Properties of exponents calculator:
This calculator solves bases with both negative exponents and positive exponents. It also provides a step by step method with an accurate answer.
What is an exponent?
An exponent is a small number located in the upper, righthand position of an exponential expression (base exponent), which indicates the power to which the base of the expression is raised.
The exponent of a number shows you how many times the number is to be used in multiplication. Exponents do not have to be numbers or constants; they can be variables.
They are often positive whole numbers, but they can be negative numbers, fractional numbers, irrational numbers, or complex numbers. It is written as a small number to the right and above the base number.
Types:
There are basically two types of exponents.

Positive exponent
A positive exponent tells how many times a number is needed to be multiplied by itself. Use our exponent calculator to solve your questions.

Negative exponent
A negative exponent represents which fraction of the base, the solution is. To simplify exponents with power in the form of fractions, use our exponent calculator.
Example:
Calculate the exponent for the 3 raised to the power of 4 (3 to the power of 4).
It means = 3^{4}
Solution:
3*3*3*3 = 81
4 to the 3rd power = 81
Therefore the exponent is 81
2 raised to the power calculator.
Example:
What is the value of exponent for 2 raise to power 9 (2 to the 9th power)
It means = 2^{9}
Solution:
2*2*2*2*2*2*2*2*2 = 512
2 to the 9th power = 512
Therefore the exponent is 512.
Example:
How do you calculate the exponents of 5,6,7 to the power of 4?
It means = 5^{4}, 6^{4}, 7^{4}
Solution:
5*5*5*5 = 625
6*6*6*6 = 1296
7*7*7*7 = 2401
Therefore the exponents are 625, 1296, 2401.
How to calculate the nth power of a number?
The nth power of a base, let’s say “y”, means y multiplied to itself nth time. If we are to find the fifth power of y, it is y*y*y*y*y.
Some other solutions for the nth power calculator are in the following table.
0.1 to the power of 3  0.00100 
0.5 to the power of 3  0.12500 
0.5 to the power of 4  0.06250 
1.2 to the power of 4  2.07360 
1.02 to the 10th power  1.21899 
1.03 to the 10th power  1.34392 
1.2 to the power of 5  2.48832 
1.4 to the 10th power  28.92547 
1.05 to the power of 5  1.27628 
1.05 to the 10th power  1.62889 
1.06 to the 10th power  1.79085 
2 to the 3rd power  8 
2 to the power of 3  8 
2 raised to the power of 4  16 
2 to the power of 6  64 
2 to the power of 7  128 
2 to the 9th power  512 
2 to the tenth power  1024 
2 to the 15th power  32768 
2 to the 10th power  1024 
2 to the power of 28  268435456 
3 to the power of 2  9 
3 to the 3 power  27 
3 to the 4 power  81 
3 to the 8th power  6561 
3 to the 9th power  19683 
3 to the 12th power  531441 
3 to what power equals 81  3^{4} 
4 to the power of 3  64 
4 to the power of 4  256 
4 to the power of 7  16384 
7 to the power of 3  343 
12 to the 2nd power  144 
2.5 to the power of 3  15.625 
12 to the power of 3  1728 
10 exponent 3  1000 
24 to the second power (24^{2})  576 
10 to the power of 3  1000 
3 to the power of 5  243 
6 to the power of 3  216 
9 to the power of 3  729 
9 to the power of 2  81 
10 to the power of 5  100000 
Exponent Rules:
Learning the exponent rules along with log rules can make maths really easy for understanding. There are 7 exponent rules.

Zero Property of exponent:
It means if the power of a base is zero then the value of the solution will be 1.
Example: Simplify 5^{0}.
In this question, the power of base is zero, then according to the zero property of exponents, the answer of this non zero base is 1. Hence,
5^{0}= 1

Negative Property of exponent:
It means when the power of base is a negative number, then after multiplying we will have to find the reciprocal of the answer.
Example: Simplify 1/3^{2}.
We will first make the power positive by taking reciprocal.
1/3^{2}=3^{2}
3^{2} = 9

Product Property of exponent:
When two exponential expressions having the same non zero base and different powers are multiplied, then their powers are added over the same base.
Example: Solve (2^{6})(2^{2}).
As it is obvious, bases are the same so powers are to be added. Now
(2^{6})(2^{2}) = 2^{6+2}
2^{8} =2*2*2*2*2*2*2*2
=256

Quotient Property of exponent:
It is the opposite of the product property of exponent. When two same bases having different exponents are required to be divided, then their powers are subtracted.
Example: Simplify 3^{7 }/3^{2}
3^{7 }/ 3^{2}=3^{72}
35=3*3*3*3*3
= 243

Power of a Power Property:
When an exponent expression further has power, then firstly you need to multiply the powers and then solve the expression.
Example: Solve: ( x^{2})^{3}.
Keeping in view the power of power property of exponents, we will multiply powers.
(x^{2})^{3}=x^{2*3}
= x^{6}

Power of a product property:
When a product of bases is raised to some power, the bases will possess the power separately.
Example: Simplify (4*5)^{2}
4^{2 }* 5^{2}=16*25
= 400

Power of a Quotient Property:
It is the same as the power of a product property. Power belongs separately to both the numerator and denominator.
Example: Solve (2/3)^{2}
(2/3)^{2}=2^{2 }/ 3^{2}
2^{2 }/ 3^{2}=4/9
References:
 Mclph.umn.edu. 2020. What Is An Exponent?.
 Stapel, E., 2020. Exponents: Basic Rules  Purplemath.
 Math.com. 2020. Algebra Basics  Exponents  In Depth.
 Mathinsight.org. 2020. Basic Rules For Exponentiation  Math Insight.
 Analyzemath.com. 2020. What Are Exponents In Maths  Grade 7 Maths Questions With Detailed Solutions.