Question

What is the product of (7/8)(-16)(-7)(-14)

Answer 1

By definition, a product is the result of a multiplication. So, in order to find the product asked in the exercise, you must multiply the numbers.

Remember the rules for the signs in multiplication:

`\begin{gathered} +\cdot+=+ \\ -\cdot-=- \\ +\cdot-=- \end{gathered}`

To multiply fractions the procedure is the following:

`(a)/(b)\cdot(c)/(d)=(ac)/(bd)`

So, given this expression:

`((7)/(8))(-16)(-7)(-14)`

You can rewrite it in this form:

`=((7)/(8))((-16)/(1))((-7)/(1))((-14)/(1))`

Then, multiplying the fractions, you get this product:

`=((7)(-16)(-7)(-14))/(8)=(-10976)/(8)`

Simpliying the product, you get that the answer is:

`=-1372`