The simplified value of $$\frac{31^{10} \times 2^{15} \times 84^6}{31^9 \times 2^{14} \times 84^5}$$ is :

Correct option is B

Given:

​$$\frac{31^{10} \times 2^{15} \times 84^6}{31^9 \times 2^{14} \times 84^5}$$ 

Concept Used: 

$$x^m \times x^n = x^{m-n}$$ 

Solution:

$$\frac{31^{10} \times 2^{15} \times 84^6}{31^9 \times 2^{14} \times 84^5}$$ 

= $${31^{10 - 9} \times 2^{15- 14} \times 84^{6-5}}$$ 

= $$31\times 2 \times 84$$ 

= 5208