# Modular Exponentiation (PowMod)

Calculator and formula for calculating the modular exponentiation (PowMod)

## Modular Exponentiation berechnen

This calculator supplies the result of the modular exponentiation (PowMod) function. The result is the remainder of a division of $$\displaystyle b^{x}$$ by $$\displaystyle m$$.

To calculate, enter the base, the exponent and the modulo, then click on the 'Calculate' button.

Modular exponentiation calculator

 Input Base b Exponent e Modulo m Decimal places 0 1 2 3 4 6 8 10 Result Remainder

## Formula for modular exponentiation

$$\displaystyle x= b^e \hspace{8px} mod \hspace{8px} m$$

#### Example

$$\displaystyle x= 4^2 \hspace{8px} mod \hspace{8px} 10$$
$$\displaystyle x= 16 \hspace{8px} mod \hspace{8px} 10 =6$$