MathDB
Problems
Contests
National and Regional Contests
Malaysia Contests
Malaysia National Olympiad
2010 Malaysia National Olympiad
8
OMK 2010
OMK 2010
Source: Malaysia National Olympiad 2010 Bongsu Category Problem 8
June 4, 2011
modular arithmetic
number theory unsolved
number theory
Problem Statement
Find the last digit of
7
1
×
7
2
×
7
3
×
⋯
×
7
2009
×
7
2010
.
7^1\times 7^2\times 7^3\times \cdots \times 7^{2009}\times 7^{2010}.
7
1
×
7
2
×
7
3
×
⋯
×
7
2009
×
7
2010
.
Back to Problems
View on AoPS