Find the Last Two Digits of 2003^2002^2001 Using Modular Arithmetic

Math Problem Statement

Tentukan dua digit terakhir dari 2003^2002^2001

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Exponentiation
Modular Arithmetic
Number Theory

a^b mod m

Euler's Theorem
Chinese Remainder Theorem

Undergraduate Level

Find the Last Two Digits of 2003^2002^2001 Using Modular Arithmetic and Euler's Theorem

Dua Digit Terakhir dari 2003^2002^2001 dengan Modular Arithmetic dan Teorema Euler

Calculating Large Exponents: 222^3333 + 333^222

Divisibility of Expression with Large Exponents (20^2004 + 16^2004 - 3^2004 - 1)

Dua Digit Terakhir dari 2003^2002^2001 dengan Teorema Euler dan Teorema Sisa Cina