Simplify:  $$\frac{(3^3×2^4×7^2)}{(3^2×56)}$$​​

Correct option is C

Given: 

​$$\frac{(3^​3× 2^4× 7^2) }{ (3^2× 56)}$$ 

Solution:

 Factorize 56:

56 = 2³× 7

Now, 

​$$\frac{(3 ^3× 2^4× 7^2) }{ (3^2× 2^3 \times 7 )}\\ \ \\ = 3 ^{3-2}× 2^{4-3}× 7^{2-1}$$​​

= 3 × 2 × 7

= 42

​Thus, correct option is (c).​