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Re: Unit digit.....please help

What is the units digit of (13)^4 x (17)^2 x (29)^3 ? a)9 b)7 c)5 d)4 e)1 just manage the unit digit 3^4 end in 1 7 ^2 end in 9 9^3 end in 1 hence 1 x 9 x 1 = 9 How to solve that, is there any pattern? thanks for any advice

by Etoiles

Sat Feb 14, 2009 10:38 am
Forum: Problem Solving
Topic: Unit digit.....please help
Replies: 3
Views: 5886

Re: integers

. If x and y are integers and xy2 is a positive odd integer, which of the following must be true? Ⅰ. xy is positive. Ⅱ. xy is odd. Ⅲ. x + y is even. folks please explain how many statements of the above are sufficient to answer the question.. let 's start xy2 is a posi...

by Etoiles

Sat Feb 14, 2009 10:34 am
Forum: Problem Solving
Topic: integers
Replies: 4
Views: 4568

what to do next

2 ways
either develop as and solve
or recognize that X^2 +6X+9 is (X+3)^2
and factorize x+3 and then solve
and refactorize x+6 Recognizing that X^2 +12X+36
is (X+6 ) ^2

ps it is the formula (a+b)^2 = a^2 +b^2+2ab

hope it helps

by Etoiles

Sat Feb 14, 2009 10:12 am
Forum: Problem Solving
Topic: Algebra
Replies: 5
Views: 1903