Question

simplify (5/11)^2×(11/5)^4×(5/4)^2​

Answer 1

Answer:

$\frac{121}{16}$

Step-by-step explanation:

$\big(\frac{5}{11}\big)^2\times\big(\frac{11}{5}\big)^4\times\big(\frac{5}{4}\big)^2\\=\frac{5^4\times11^4}{4^2\times5^4\times11^2}\\=\frac{11^2}{4^2}\\=\frac{121}{16}$

Answer 2

Step-by-step explanation:

(

11

5

)

2

×(

5

11

)

4

×(

4

5

)

2

=

4

2

×5

4

×11

2

5

4

×11

4

=

4

2

11

2

=

16

121