Chapter 5: Problem 7

Express as simply as possible: (a) \(7 \times x \times 4 \times 2 \times y\) (b) \(-8 \times 2 \times a \times b\) (c) \(2 \times x \times 3 \times y \times 4 z\)

Short Answer

Expert verified

Question: Simplify the following expressions: a) \(7 \times x \times 4 \times 2 \times y\) b) \(-8 \times 2 \times a \times b\) c) \(2 \times x \times 3 \times y \times 4z\) Answer: a) \(56xy\) b) \(-16ab\) c) \(24xyz\)

Step by step solution

Multiply the numbers

First, we want to multiply all the numerical values together: \(7 \times 4 \times 2 = 56\).

Combine variables

Next, we need to combine the variables (\(x\) and \(y\)). They are already in a simplified state, so we can simply keep them as they are.

Final Answer (a)

The simplified expression for (a) is: \(56xy\). #(b) \(-8 \times 2 \times a \times b\)#

Multiply the numbers

First, we want to multiply all the numerical values together: \(-8 \times 2 = -16\).

Combine variables

Next, we need to combine the variables (\(a\) and \(b\)). They are already in a simplified state, so we can simply keep them as they are.

Final Answer (b)

The simplified expression for (b) is: \(-16ab\). #(c) \(2 \times x \times 3 \times y \times 4z\)#

Multiply the numbers

First, we want to multiply all the numerical values together: \(2 \times 3 \times 4 = 24\).

Combine variables

Next, we need to combine the variables (\(x\), \(y\), and \(z\)). Again, they are already in a simplified state, so we can simply keep them as they are.

Final Answer (c)

The simplified expression for (c) is: \(24xyz\).

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Express as simply as possible: (a) \(7 \times x \times 4 \times 2 \times y\) (b) \(-8 \times 2 \times a \times b\) (c) \(2 \times x \times 3 \times y \times 4 z\)

Short Answer

Step by step solution

Multiply the numbers

Combine variables

Final Answer (a)

Multiply the numbers

Combine variables

Final Answer (b)

Multiply the numbers

Combine variables

Final Answer (c)

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