Question

Simplify. 1/3(1−1/4)^2 please

Answer 1

`\huge \boxed{(3 )/(16)}`

`\rule[225]{225}{2}`

Explanation:

`\displaystyle (1)/(3) (1-(1)/(4) )^2`

Solving for brackets:

`\displaystyle (1)/(3) ((4)/(4) -(1)/(4) )^2`

`\displaystyle (1)/(3) ((3)/(4) )^2`

Squaring the fraction:

`\displaystyle (1)/(3) ((3^2 )/(4^2 ) )`

`\displaystyle (1)/(3) ((9 )/(16) )`

Multiplying the fractions:

`\displaystyle (1 * 9 )/(3 * 16)`

`\displaystyle (9 )/(48)`

Simplifying the fraction:

`\displaystyle (3 )/(16)`

`\rule[225]{225}{2}`

Answer 2

3/16

Explanation:

1/3(1-1/4)^2

1/3(3/4)^2

1/3(9/16)

3/16