Negative power mod calculator. Try now! Tool to compute modular power. Then $$ 2^ {-11}=13^ {11} $$ which you may compute by finding a pattern. It allows minimizing the number of multiplication operations extremely. Free Negative Power Mod Calculator - find modulo of large negative powers step by step Master modular arithmetic with our power mod calculator, perfect for calculations with exponents. It’s written as: a m o d n a mod n. Online PowerMod Calculator. Simplify complex math effortlessly. . Negative exponents, decimal exponents and large exponents. It uses a fast modular exponentiation algorithm to handle large numbers efficiently. In your example: $-11 \;mod\; 7 = 3$ $-11/7 = - 1 4/7$ , My reaction is regard $4$ as the remainder. Module plus the negative remainder). Modulo is about measuring what’s left. All About Modulo Calculator: Some math ideas are about measuring how much. Operationally would be to use the standard division, but note that the remainder is negative, then you need to do the last operation to get the positive remainder. Modulo is a way of finding the remainder when one number is divided by another. In the Polynomial power expansion calculator, we already used fast exponentiation algorithm based on a power tree. For example: 1 4 m o d 5 = 4 14 mod 5 = 4 because 5 fits into 14 twice, with 4 left over. What is the Power Modulo Calculator? Definition: This calculator computes the result of modular exponentiation, which is the operation \ ( a^b \mod n \), where \ ( a \) is the base, \ ( b \) is the exponent, and \ ( n \) is the modulus. Modular Exponentiation (or power modulo) is the result of the calculus a^b mod n. com 1. Aug 1, 2025 · Calculator for Exponents. Thus, while positive exponents involve repeated multiplication of a number, negative exponents indicate how many times to divide by that number. Hence the positive remainder is $5-2 =3$ (i. You’ve seen it in real life, even if you didn’t know it. e. Nov 19, 2024 · A negative exponent is defined as the reciprocal (or multiplicative inverse) of the base, raised to the corresponding positive exponent. It is often used in informatics and cryptography. However, we can not use it with huge exponents since the exponentiation tree consumes too much memory. If today is The modulo calculator finds the solution of an expression x mod y = r. Find the power of large integers and decimals. Shows solution for small integers to the power of small integers. Use the Power Mod Calculator to quickly find a^b mod c using efficient modular exponentiation. Exponent Rules. The PowerMod Calculator, or Modular Exponentiation Calculator, calculates online a^b mod n step-by-step See full list on calculatorsoup. 2 You have to be careful about what the negative in the exponent means, namely $2^ {-1}$ is the element $a$ that satisfies $$ 2a\cong 1\mod 25 $$ With a little thought, this is seen to be $a=13$. skel tmrthvkf ujjaugeu lemh lanjz xulo oar qub gsnqv aem