Answer:
Step-by-step explanation:
1). [tex](\frac{-4}{9})\times (\frac{7}{4})=(-1)(\frac{4}{9})(\frac{7}{4} )[/tex]
[tex]=-\frac{7}{9}[/tex] [Negative]
2). [tex](-2\frac{3}{4})(-1\frac{1}{5})=(-1)(2\frac{3}{4})(-1)(1\frac{1}{5})[/tex]
[tex]=(-1)^2(2\frac{3}{4})(1\frac{1}{5})[/tex]
[tex]=(2\frac{3}{4})(1\frac{1}{5})[/tex] [Positive]
3). (3)(-3)(-3)(-3)(-3) = 3.(-1).3.(-1).3.(-1).3(-1).(3)
= (-1)⁴(3)⁵
= (3)⁵ [Positive]
4). [tex](-\frac{1}{6})(-2)(-\frac{3}{5})(-9)[/tex] = [tex](-1)(\frac{1}{6})(-1)(2)(-1)(\frac{3}{5})(-1)(9)[/tex]
= [tex](-1)^4(\frac{1}{6})(2)(\frac{3}{5})(9)[/tex]
= [tex](\frac{1}{6})(2)(\frac{3}{5})(9)[/tex] [Positive]
5). [tex](-\frac{4}{7})(-\frac{3}{5})(-9)=(-1)(\frac{4}{7})(-1)(\frac{3}{5})(-1)(9)[/tex]
[tex]=(-1)^3(\frac{4}{7})(\frac{3}{5})(9)[/tex]
[tex]=-(\frac{4}{7})(\frac{3}{5})(9)[/tex] [Negative]
6). [tex](-\frac{10}{7})(\frac{8}{3})=(-1)(\frac{10}{7})(\frac{8}{3})[/tex]
[tex]=-(\frac{10}{7})(\frac{8}{3})[/tex] [Negative]
