Final answer:
To evaluate (6/11)², you square both the numerator and the denominator, resulting in 36/121.
Step-by-step explanation:
The student is asking to evaluate the square of the fraction 6/11. To do this, we simply square both the numerator and the denominator. Therefore, the square of (6/11) is (6²)/(11²), which equals 36/121.
To evaluate the expression
(
6
11
)
2
(
11
6
)
2
, you square the fraction. Squaring a fraction involves multiplying the fraction by itself. In this case:
(
6
11
)
2
=
6
11
×
6
11
(
11
6
)
2
=
11
6
×
11
6
To multiply fractions, you multiply the numerators together and the denominators together:
(
6
11
)
2
=
6
×
6
11
×
11
(
11
6
)
2
=
11×11
6×6
Simplify the multiplication:
(
6
11
)
2
=
36
121
(
11
6
)
2
=
121
36
Therefore,
(
6
11
)
2
(
11
6
)
2
simplifies to
36
121
121
36
. This is the result of squaring the fraction
6
11
11
6
. The final answer is
36
121
121
36
.