-3/7(-w^2)(7w)
In this equation, why is the answer positive? I thought the answer is negative because there are 3 negative signs..
I see two negative signs, not three
con't confuse -w^2 with (-w)^2
-w^2 = (-1)(w)(w)= -w^2
(-w^2) = (-w)(-w) = +w^2
In the equation -3/7(-w^2)(7w), it may appear at first that there are three negative signs, which might lead you to expect a negative answer. However, let me explain why the answer is actually positive.
To evaluate this expression, we can break it down step by step:
1. Start with -3/7(-w^2)(7w)
2. Multiply -3/7 by -w^2 to get 3w^2/7
3. Multiply 3w^2/7 by 7w to get (3w^2/7)(7w) = 3w^3
So, the expression simplifies to 3w^3. It is important to note that when multiplying two negative numbers, the result is positive. In this equation, -3/7 is multiplied by -w^2, resulting in a positive term, 3w^2/7.
Therefore, the answer is positive, and it can be expressed as 3w^3.