# Math league contest

• October 14th 2012, 02:00 PM
victorwen28
Math league contest
1-2 What is the least integer greater than 1 million whose square root is also an integer?
1-3 What are both integers n for which
(2^n^4)(2^n^3)(2^n^2)(2^n)=1 My answer was 0 and -1.
1-4 The cost(in cents) of 8 candies is equal to the number of candies that I can buy for 98 cents. At the same cost per candy, how many cents do 14 candies cost?
• October 14th 2012, 02:44 PM
Soroban
Re: Math league contest
Hello, victorwen28!

Quote:

1-2 What is the least integer greater than 1 million whose square root is also an integer?
. . My answer was 1,002,001.

1-3 What are both integers n for which $\left(2^{n^4}\right)\left(2^{n^3}\right)\left(2^{n ^2}\right)\left(2^n\right)\;=\;1$
. . My answer was 0 and -1.

1-4 The cost(in cents) of 8 candies is equal to the number of candies that I can buy for 98 cents.
At the same cost per candy, how many cents do 14 candies cost?
. . My answer was 49 cents.