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Here's the evaluation of the expression.
Step 1: Evaluate the numerator following the order of operations (multiplication and division before subtraction).
Numerator=36−8×4−15÷−3
First, perform the multiplication:
8×4=32
Next, perform the division:
15÷−3=−5
Substitute these values back into the numerator:
Numerator=36−32−(−5)
Numerator=36−32+5
Numerator=4+5
Numerator=9
Step 2: Evaluate the denominator following the order of operations (parentheses, then multiplication, then subtraction).
Denominator=−3×−3−8(−6+2)
First, evaluate the expression inside the parentheses:
−6+2=−4
Substitute this value back:
Denominator=−3×−3−8(−4)
Next, perform the multiplications:
−3×−3=9
8×−4=−32
Substitute these values back into the denominator:
Denominator=9−(−32)
Denominator=9+32
Denominator=41
Step 3: Divide the numerator by the denominator.
DenominatorNumerator=419
The evaluated expression is 419.
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