Mathlean · Online math workspace

Modular exponentiation calculator

Calculate an integer power modulo a modulus without expanding the full power.

How to use this calculator

Edit PowerMod(base, exponent, modulus). The starter computes 2 to the tenth power modulo 7.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PowerMod⁡(2,10,7)\operatorname{PowerMod}\left(2,10,7\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Modular negative powers require invertibility; do not confuse modular arithmetic with decimal remainders.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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