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 determines how many times a number (the base) is multiplied by itself. It has a simple interface: just enter the base and its exponent to calculate powers of large integers, real numbers, or even expressions with the irrational number e as the base.

What is an Exponent?

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

Example:

Exponent calculator example

In this example, 7 is multiplied by itself 4 times: 7 × 7 × 7 × 7 = 2401.

Basic Exponent Rules

Product Rule: Multiply powers with the same base by adding exponents: a^m · a^n = a^(m+n)
Quotient Rule: Divide powers with the same base by subtracting exponents: a^m / a^n = a^(m-n)
Zero Rule: Any number raised to the power of 0 equals 1: b^0 = 1 (b ≠ 0)
Power of a Power: Multiply exponents when raising a power to another power: (a^m)^n = a^(mn)
Power of a Product: Distribute the exponent over a product: (ab)^x = a^x · b^x
Negative Exponent: A negative exponent equals the reciprocal: a^-x = 1 / a^x

Example:

Find 3 raised to the 7th power (3^7):

Solution:

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

Here, x = 3 and n = 7:

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

Table of Common Powers

Fractional exponents, like a^(2/3), represent roots as well, e.g., a^(2/3) = ∛(a^2). The table below shows 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