Question

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

Answer 1

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 2

Remember that $(\frac{a}{b})^c=\frac{a^c}{b^c}$

simplify inside parentahsees first

1-1/4=3/4

1/3(3/4)^2=
$(\frac{1}{3})(\frac{3}{4})^2=$
$(\frac{1}{3})(\frac{3^2}{4^2})=$
$(\frac{1}{3})(\frac{9}{16})=$
$\frac{9}{48}=$
$\frac{3}{16}=$