There are some expressions given. We have to simplify them and have to check which simplified values are positive.
The first expression is [tex] (2)(8) [/tex].
2 multiplied 8 is 16 which is positive.
So first expression is positive.
The second expression is [tex] \frac{(-10)}{12} [/tex].
We can simplify the expression by dividing both (-10) and 12 by a common factor of them. 2 is the common factor of them. If we divide them by 2 we will get, (-5) and 6.
[tex] \frac{(-10)}{12} = - \frac{5}{6} [/tex]
So second expression is not positive.
Third expression is [tex] (-2)(-2) [/tex]
If we multiply them we will get 4 which is positive.
So third expression is positive.
Fourth expression is [tex] \frac{10}{(-20)} [/tex]
The common factor of them is 10. If we divide both of them by 10 we will get 1 and (-2) there.
[tex] \frac{10}{(-20)}= - \frac{1}{2} [/tex]
So fourth expression is not positive.
Fifth expression is [tex] (6)(-8) [/tex]
If we multiply them we will get (-48) which is negative.
So fifth expression is not positive.
Sixth expression given [tex] \frac{(-40)}{(-8)} [/tex]
If we divide them we will get 5 which is positive.
So sixth expression is positive.
We have got the required answer. First, third and sixth expressions has positive values.
