in base 7 your numbers would go
1 2 3 4 5 6 10 6 * 1 = 6
11 12 13 14 15 16 20 6 * 2 = 15
21 22 23 24 24
31 32 33 33
41 42 42
51
61
100
Therefore in base 7, 6 times 5 is 42
You can check your answer by casting out sixes.
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The multiple for 6 are 2 times 4
The number 5 can go into 6 once, with a remainder of 1. This is because 5 is the largest multiple of 5 that is less than 6. In division terms, 6 divided by 5 equals 1 with a remainder of 1.
When multiplying two exponents with the same base, you add the exponents. Therefore, 5 to the power 6 times 5 to the power 8 is simplified to 5 to the power (6+8) which is equal to 5 to the power 14.
Pyramid volume is (1/3) times area of the base, times height. So (1/3) x 6 in x 5 in x 5 in = 50 in3
5 times 5 times 6 equals 150