Exponent Calculator

Exponent Calculator

Enter the base and exponent values in their respective fields, and the calculator will readily apply exponent operations to them up to n.

Exponent Calculator

The Exponent Calculator helps you determine how many times a number (the base) is multiplied by itself. Simply enter the base and its exponent to calculate powers of integers, real numbers, or even expressions with the irrational number e as the base.

What is an Exponent?

An exponent represents the power to which a number is raised. It indicates how many times the base is multiplied by itself, written as a small raised number to the right of the base.

Example:

Exponent calculator example

Here, 7 is multiplied by itself 4 times: 7 × 7 × 7 × 7 = 2401.

Basic Exponent Rules

Product Rule: Multiply powers with the same base: a^m · a^n = a^(m+n)
Quotient Rule: Divide powers with the same base: a^m / a^n = a^(m-n)
Zero Rule: Any nonzero number raised to 0 equals 1: b^0 = 1
Power of a Power: Multiply exponents: (a^m)^n = a^(mn)
Power of a Product: Distribute the exponent: (ab)^x = a^x · b^x
Negative Exponent: Reciprocal of the positive power: a^-x = 1 / a^x

Example Calculation

Find 3^7:

Solution:

Formula: x^n = x · x · x · ... (n times)

Substitute x = 3, n = 7:

3^7 = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187

Table of Common Powers

Fractional exponents represent roots: a^(2/3) = ∛(a^2). Below are powers of some common numbers:

Base^Exponent	Result
0.1^3	0.001
0.1^4	0.0001
0.2^3	0.008
0.5^3	0.125
0.5^4	0.0625
1.2^4	2.0736
1.02^10	1.21899
1.2^5	2.48832
1.3^5	3.71293
2^3	8
2^4	16
2^10	1024
3^2	9
3^5	243
3^12	531441
4^3	64
4^4	256
7^3	343
12^2	144
12^3	1728
10^3	1000

References

Wikipedia: Exponent Definition & Rules
Sciencing: How to Calculate Exponents Manually

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EN	PL	ID
TR	DE	JA
KO	CS	PT
FR	ES	IT
RU	FI	NO