Question

Apply the product rules to determine the sign of each expression

Answer 1

Explanation:

1).
`((-4)/(9))* ((7)/(4))=(-1)((4)/(9))((7)/(4) )`

`=-(7)/(9)` [Negative]

2).
`(-2(3)/(4))(-1(1)/(5))=(-1)(2(3)/(4))(-1)(1(1)/(5))`

`=(-1)^2(2(3)/(4))(1(1)/(5))`

`=(2(3)/(4))(1(1)/(5))` [Positive]

3). (3)(-3)(-3)(-3)(-3) = 3.(-1).3.(-1).3.(-1).3(-1).(3)

= (-1)⁴(3)⁵

= (3)⁵ [Positive]

4).
`(-(1)/(6))(-2)(-(3)/(5))(-9)` =
`(-1)((1)/(6))(-1)(2)(-1)((3)/(5))(-1)(9)`

=
`(-1)^4((1)/(6))(2)((3)/(5))(9)`

=
`((1)/(6))(2)((3)/(5))(9)` [Positive]

5).
`(-(4)/(7))(-(3)/(5))(-9)=(-1)((4)/(7))(-1)((3)/(5))(-1)(9)`

`=(-1)^3((4)/(7))((3)/(5))(9)`

`=-((4)/(7))((3)/(5))(9)` [Negative]

6).
`(-(10)/(7))((8)/(3))=(-1)((10)/(7))((8)/(3))`

`=-((10)/(7))((8)/(3))` [Negative]