Questions: Multiply. You may want to determine the sign of the product before you multiply. -6(-5)(-6)(1) -6(-5)(-6)(1)=

Multiply. You may want to determine the sign of the product before you multiply. -6(-5)(-6)(1) -6(-5)(-6)(1)=
Transcript text: Multiply. You may want to determine the sign of the product before you multiply. \[ \begin{array}{r} -6(-5)(-6)(1) \\ -6(-5)(-6)(1)= \end{array} \]
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Solution

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Solution Steps

To solve the multiplication problem, first determine the sign of the product by counting the number of negative numbers. If the count is odd, the product is negative; if even, the product is positive. Then, multiply the absolute values of the numbers.

Step 1: Determine the Sign of the Product

To determine the sign of the product, count the number of negative numbers in the multiplication. The numbers are \(-6\), \(-5\), \(-6\), and \(1\). There are three negative numbers. Since the count of negative numbers is odd, the product will be negative.

Step 2: Calculate the Product of Absolute Values

Next, calculate the product of the absolute values of the numbers: \[ |-6| \times |-5| \times |-6| \times |1| = 6 \times 5 \times 6 \times 1 = 180 \]

Step 3: Apply the Sign to the Product

Since the product is negative, apply the negative sign to the calculated product: \[ -180 \]

Final Answer

\(\boxed{-180}\)

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