Question

[8^-2/3 ×2^1/2 ×25^-5/4]/[32^-2/5 ×125^-5/6]=√2​

Answer 1

8.93

SOLUTION::

We will follow BODMAS rule::

[8 - 7 x 25 -5/4] ÷ [32- 50 -5/6]

[8 - 175 - 5/4] ÷ [32 -50 -5/6]

[(32 - 700 -5)/4] ÷ [(192- 300 -5)/6]

[(32-705)/4]÷[(192-305)/6]

[-673/4]÷ [-113/6]

[-673/4]×[6/-113]...........Reciprocal taken as sign changed

[673/2]×[3/113]

[(673×3)/(2×113)]

[2019/226]

8.93 is your answer.