The problem is to evaluate the expression: $(-6) \div (-2)^3 \times (-4)$.

ArithmeticOrder of OperationsInteger ArithmeticExponentsDivisionMultiplication
2025/5/4

1. Problem Description

The problem is to evaluate the expression: (6)÷(2)3×(4)(-6) \div (-2)^3 \times (-4).

2. Solution Steps

First, we calculate (2)3(-2)^3:
(2)3=(2)×(2)×(2)=4×(2)=8(-2)^3 = (-2) \times (-2) \times (-2) = 4 \times (-2) = -8
Now, substitute this value back into the original expression:
(6)÷(8)×(4)(-6) \div (-8) \times (-4)
Next, we perform the division:
(6)÷(8)=68=34(-6) \div (-8) = \frac{-6}{-8} = \frac{3}{4}
Then, we multiply the result by (4)(-4):
34×(4)=3×(4)4=124=3\frac{3}{4} \times (-4) = \frac{3 \times (-4)}{4} = \frac{-12}{4} = -3

3. Final Answer

The final answer is -3.

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