Respuesta :
remember that [tex](\frac{a}{b})^c=\frac{a^c}{b^c}[/tex]
simplify inside parentahsees first
1-1/4=3/4
1/3(3/4)^2=
[tex](\frac{1}{3})(\frac{3}{4})^2=[/tex]
[tex](\frac{1}{3})(\frac{3^2}{4^2})=[/tex]
[tex](\frac{1}{3})(\frac{9}{16})=[/tex]
[tex]\frac{9}{48}=[/tex]
[tex]\frac{3}{16}=[/tex]
simplify inside parentahsees first
1-1/4=3/4
1/3(3/4)^2=
[tex](\frac{1}{3})(\frac{3}{4})^2=[/tex]
[tex](\frac{1}{3})(\frac{3^2}{4^2})=[/tex]
[tex](\frac{1}{3})(\frac{9}{16})=[/tex]
[tex]\frac{9}{48}=[/tex]
[tex]\frac{3}{16}=[/tex]
The correct answer is 3/16. You can find this answer through order of operations.
1/3(1-1/4)^2
1/3(3/4)^2
1/3(9/16)
3/16
1/3(1-1/4)^2
1/3(3/4)^2
1/3(9/16)
3/16