（タイトルを変更）
$ for i in $(seq 1 10) ; do for j in $(seq 1 10) ; do echo $i^$j = $(($i ^ $j)) ; done ; done
1^1 = 0
1^2 = 3
1^3 = 2
1^4 = 5
1^5 = 4
1^6 = 7
1^7 = 6
1^8 = 9
1^9 = 8
1^10 = 11
2^1 = 3
2^2 = 0
2^3 = 1
2^4 = 6
2^5 = 7
2^6 = 4
2^7 = 5
2^8 = 10
2^9 = 11
2^10 = 8
3^1 = 2
3^2 = 1
3^3 = 0
3^4 = 7
3^5 = 6
3^6 = 5
3^7 = 4
3^8 = 11
3^9 = 10
3^10 = 9
4^1 = 5
4^2 = 6
4^3 = 7
4^4 = 0
4^5 = 1
4^6 = 2
4^7 = 3
4^8 = 12
4^9 = 13
4^10 = 14
5^1 = 4
5^2 = 7
5^3 = 6
5^4 = 1
5^5 = 0
5^6 = 3
5^7 = 2
5^8 = 13
5^9 = 12
5^10 = 15
6^1 = 7
6^2 = 4
6^3 = 5
6^4 = 2
6^5 = 3
6^6 = 0
6^7 = 1
6^8 = 14
6^9 = 15
6^10 = 12
7^1 = 6
7^2 = 5
7^3 = 4
7^4 = 3
7^5 = 2
7^6 = 1
7^7 = 0
7^8 = 15
7^9 = 14
7^10 = 13
8^1 = 9
8^2 = 10
8^3 = 11
8^4 = 12
8^5 = 13
8^6 = 14
8^7 = 15
8^8 = 0
8^9 = 1
8^10 = 2
9^1 = 8
9^2 = 11
9^3 = 10
9^4 = 13
9^5 = 12
9^6 = 15
9^7 = 14
9^8 = 1
9^9 = 0
9^10 = 3
10^1 = 11
10^2 = 8
10^3 = 9
10^4 = 14
10^5 = 15
10^6 = 12
10^7 = 13
10^8 = 2
10^9 = 3
10^10 = 0
$
キャレット、なに。