This exponent calculator makes the exponentiation calculation that involves two numbers: one is the base (x) and the other is the exponent (n), written as x^n.
Exponent formula and rules
The formula that is used by this exponent calculator is: xn=x*x*x*x..x (for n times)
For instance: 43=4*4*4=64.
Below there is the list with the exponent rules and laws:
- Zero exponent: x0=1
- Case when base is one: 1n=1
- Negative exponent: x-n= 1 / xn
- Radical of exponent: m√(xn)= xn/m
- Power of exponent: (xn)m= xn·m
- Dividing the exponents:
- In case the operation looks like: xn/ yn= (x / y) n
- In case the operation looks like: xn/ xm= xn-m
- Multiplying the exponents: xn· xm= xn+m
Here is a short table with the exponent calculation for the combinations of numbers between 0 – 9:
| xn | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0 | - | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 2 | 1 | 2 | 4 | 8 | 16 | 32 | 64 | 128 | 256 | 512 |
| 3 | 1 | 3 | 9 | 27 | 81 | 243 | 729 | 2187 | 6561 | 19683 |
| 4 | 1 | 4 | 16 | 64 | 256 | 1024 | 4096 | 16384 | 65536 | 262144 |
| 5 | 1 | 5 | 25 | 125 | 625 | 3125 | 15625 | 78125 | 390625 | 1953125 |
| 6 | 1 | 6 | 36 | 216 | 1296 | 7776 | 46656 | 279936 | 1679616 | 10077696 |
| 7 | 1 | 7 | 49 | 343 | 2401 | 16807 | 117649 | 823543 | 5764801 | 40353607 |
| 8 | 1 | 8 | 64 | 512 | 4096 | 32768 | 262144 | 2097152 | 16777216 | 134217728 |
| 9 | 1 | 9 | 81 | 729 | 6561 | 59049 | 531441 | 4782969 | 43046721 | 387420489 |