renea104
renea104 renea104
  • 14-08-2017
  • Mathematics
contestada

Simplify. 1/3(1−1/4)^2 Enter your answer, as a simplified fraction, in the box.

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 14-08-2017
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]
Answer Link
Jefrafra
Jefrafra Jefrafra
  • 14-08-2017
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
Answer Link

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