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.


Enter the Base:*
Enter the Exponent:*

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

15 Apr, 2015 | 0 comments

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