Enter values to raise a number to a power in input box using this 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.
This calculator solves bases with both negative exponents and positive exponents. It also provides a step by step method with an accurate answer.
An exponent is a small number located in the upper, right-hand 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 a 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.
A positive exponent tells how many times a number is needed to be multiplied by itself. Use our exponent calculator to solve your questions.
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.
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.
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.
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.
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 |
Learning the exponent rules along with log rules can make maths really easy for understanding. There are 7 exponent rules.
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
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 13^{-2}.
We will first make the power positive by taking reciprocal.
1/3^{-2}=3^{2}
3^{2} = 9
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
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^{7-2}
35=3*3*3*3*3
= 243
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}
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
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