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I need help for this i know the answer but i need to understand how you get the answer -(3/4)(-8y)(4/3)(6x)(-1)

User Adrienne
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1 Answer

4 votes

Answer:

-48xy

Explanation:

This looks like a product with 5 factors in parentheses. There are 3 minus signs involved. Since 3 is an odd number, we know the product will be negative.

The factors 3/4 and 4/3 will cancel each other when multiplied. (They are reciprocals—multiplicative inverses—of each other, so their product is the multiplicative identity element, 1.)

Having taken care of the other factors, we are left with (8y)(6x). This product is ... (8·6)(x·y) = 48xy . . . . . . . . . the commutative property of multiplication lets us rearrange the order to one we like.

So, our product is the negative (opposite) of 48xy:

... -48xy

User Zoinks
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