Math Problem Statement
last two digits of 9^2019
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Chinese Remainder Theorem
Euler's Theorem
Formulas
9^{2019} mod 100
9^{2019} mod 4
9^{2019} mod 25
Euler's Theorem: a^φ(n) ≡ 1 mod n
Theorems
Chinese Remainder Theorem
Euler's Theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Remainder of Sum of Powers Modulo 10100 - Detailed Solution
Finding the Last Digit of Powers in Modular Arithmetic
Calculate Remainders: 2^100 mod 3, 3^1989 mod 7, 128^1000 mod 1000
Find the Last Two Digits of the Smallest 5-Digit Number Satisfying Modular Conditions
Finding the Remainder of 17²⁰⁰ Divided by 19 Using Fermat's Little Theorem