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Create a base six multiplication table, with entries ranging from [tex]1_6 \cdot 1_6[/tex] through [tex]11_6 \cdot 11_6[/tex]. Use the result to compute [tex]51_6 \div 34_6[/tex].

Answer :

Final answer:

To create a base six multiplication table, use the table provided. Divide 5110 by 34 in base six to get 10. The primary topic is division and multiplication in base six.

Explanation:

To create a base six multiplication table, we can use the table provided. The entries in the table represent the product of two numbers in base six. For example, the entry in the first row and second column represents 1*6, which is 6 in base six. We can use this table to find the result of dividing 5110 in base six by 34 in base six, and then converting the result back to base ten.

To divide 5110 by 34, we can look for the entry in the table that corresponds to the product of 34 and its reciprocal. Starting from the first row and moving right, we find that the 12th entry is 10. Therefore, 5110/34 = 10 in base six.

The primary topic of this question is division and multiplication in base six.

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