Exponents Calculator

Online exponents calculator. Exponential calculator.

Enter the base and exponent and press the = button:

	Enter	Enter
	Base:	Exponent:				Result:

Exponents laws and rules

The exponent formula is:

a ⁿ = a×a×...×a = p

                    n times

The base a is raised to the power of n, is equal to n times multiplication of a.

For example:

2⁵ = 2×2×2×2×2 = 32

Multiplying exponents

aⁿ · a^m = a^n+m

Example: 2³ · 2⁴ = 2⁽³⁺⁴⁾ = 2⁷ = 128

 

aⁿ · bⁿ = (a · b) ⁿ

Example: 3² · 4² = (3·4)² = 12² = 144

 

Dividing exponents

aⁿ / a^m = a^n-m

Example: 2⁵ / 2³ = 2^(5-3) = 2² = 4

 

aⁿ / bⁿ = (a / b) ⁿ

Example: 8² / 2² = (8/2⁾² = 4² = 16

 

Power of exponent

(aⁿ)^m = a^n·m

Example: (2³)⁴ = 2^{(3 · 4)} = 2¹² = 4096

 

Radical of exponent

^m√(aⁿ) = a^n/m

Example: ²√(2⁶) = 2^{(6 / 2)} = 2³ = 8

 

Negative exponent

a ^-n = 1 / a ⁿ

Example: 2^-3 = 1 / 2³ = 1 / 8 = 0.125

 

Zero exponent

a ⁰ = 1

Example: 4⁰ = 1

Exponents table

^	0	1	2	3	4	5	6	7	8	9	10
0	-	0	0	0	0	0	0	0	0	0	0
1	1	1	1	1	1	1	1	1	1	1	1
2	1	2	4	8	16	32	64	128	256	512	1024
3	1	3	9	27	81	243	729	2187	6561	19683	59049
4	1	4	16	64	256	1024	4096	16384	65536	262144	1048576
5	1	5	25	125	625	3125	15625	78125	390625	1953125	9765625
6	1	6	36	216	1296	7776	46656	279936	1679616	10077696	60466176
7	1	7	49	343	2401	16807	117649	823543	5764801	40353607	282475249
8	1	8	64	512	4096	32768	262144	2097152	16777216	134217728	1073741824
9	1	9	81	729	6561	59049	531441	4782969	43046721	387420489	3486784401
10	1	10	100	1000	10000	100000	1000000	10000000	100000000	1000000000	10000000000

 

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See also

• Logarithm calculator
• Root calculator
• Square root calculator
• Logarithm