Question

Apply the product rules to determine the sign of each expression

Answer 1

1. Negative

2.Positive

3. Positive

4. Positive

5. Negative

6. Negative

Answer 2

Answer:

Step-by-step explanation:

1). $(\frac{-4}{9})\times (\frac{7}{4})=(-1)(\frac{4}{9})(\frac{7}{4} )$

                $=-\frac{7}{9}$ [Negative]

2). $(-2\frac{3}{4})(-1\frac{1}{5})=(-1)(2\frac{3}{4})(-1)(1\frac{1}{5})$

                        $=(-1)^2(2\frac{3}{4})(1\frac{1}{5})$

                        $=(2\frac{3}{4})(1\frac{1}{5})$ [Positive]

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

                              = (-1)⁴(3)⁵

                              = (3)⁵ [Positive]

4). $(-\frac{1}{6})(-2)(-\frac{3}{5})(-9)$ = $(-1)(\frac{1}{6})(-1)(2)(-1)(\frac{3}{5})(-1)(9)$

                                   = $(-1)^4(\frac{1}{6})(2)(\frac{3}{5})(9)$

                                   = $(\frac{1}{6})(2)(\frac{3}{5})(9)$ [Positive]

5). $(-\frac{4}{7})(-\frac{3}{5})(-9)=(-1)(\frac{4}{7})(-1)(\frac{3}{5})(-1)(9)$

                            $=(-1)^3(\frac{4}{7})(\frac{3}{5})(9)$

                            $=-(\frac{4}{7})(\frac{3}{5})(9)$ [Negative]

6). $(-\frac{10}{7})(\frac{8}{3})=(-1)(\frac{10}{7})(\frac{8}{3})$

                    $=-(\frac{10}{7})(\frac{8}{3})$ [Negative]