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To calculate n raise to the power of x (xn), enter the value of base and exponent in the given input boxes and hit the "calculate" button of 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.
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, 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.
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 = 34
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 = 29
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 = 54, 64, 74
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||34|
|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 (242)||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.
- 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 50.
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,
- 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.
32 = 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 (26)(22).
As it is obvious, bases are the same so powers are to be added. Now
(26)(22) = 26+2
- 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 37 /32
37 / 32=37-2
- 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: ( x2)3.
Keeping in view the power of power property of exponents, we will multiply powers.
- 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
42 * 52=16*25
- 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=22 / 32
22 / 32=4/9
- 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.