Exponents Calculator
Online exponents calculator. Exponential calculator.
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
Enter the base (a) and exponent (n) and press the = button:
Exponents laws and rules
Multiplying exponents
an · am = an+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 / am = an-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 = an·m
Example: (23)4 = 2(3 · 4) = 212 = 4096
Radical of exponent
m√(an) = an/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 |
See also