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Evaluate (2a2)/(c-b) given a=-3, b=2, c=5. Subtract 14346 from 22436 and give the answer in base ten.
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Step-by-step solution
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: Evaluate
Given , , and .
Substitute the given values into the expression.
Calculate the numerator.
Calculate the denominator.
Divide the numerator by the denominator.
The evaluated expression is .
: Subtract from and give the answer in base ten.
Subtract from in base 6.
We perform column subtraction:
Starting from the rightmost column (units place):
: We cannot subtract 4 from 3. Borrow from the next column (the 4 in ).
The 4 becomes 3, and we add 6 (the base) to the 3, making it .
Now, . So the units digit is 5.Next column:
. So the next digit is 0.Next column:
: We cannot subtract 4 from 2. Borrow from the next column (the 2 in ).
The 2 becomes 1, and we add 6 to the 2, making it .
Now, . So the next digit is 4.Next column:
. So the leftmost digit is 0.The result of the subtraction in base 6 is , which is .
Convert the result to base ten.
To convert a number from base to base 10, we use the formula:
For :
The answer in base ten is .
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