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Let's do this one step at a time. This problem is a series of multiplications. The commutative and associative properties of multiplication allow us to change the order and the grouping of a series of multiplications. The fractions 2/3 and 3/2 are additive inverses, so they multiply to 1. |dw:1443808448078:dw|
The number one is the multiplicative identity. This is a property of multiplication that states that when you multiply any number by one, the answer is the same number you started with. That means we can cancel out the one at the end since multiplying by one does not affect the final answer. |dw:1443808583953:dw|
Next, in a series of multiplications, an even number of negative numbers means a positive answer, and an odd number of negative numbers means a negative answer. Here there are 2 negative numbers. That means the answer is positive, so we can cancel out the two negative signs. |dw:1443808692023:dw|
Now see what you have left to multiply: |dw:1443808718190:dw|
What is (9y)(8x) = ?
Yes, the number part is 72 since 9 * 8 = 72. If the problem were only 9 * 8, the answer would be 72. In your case, you have the variables x and y. What is 9y * 8x ? Multiply the numbers together, and multiply the variables together. For example: 3a * 6b = 18ab What is 9y * 8x ?