If $$\ \sqrt[3]{0.08 \times 0.8 \times p} = 0.008 \times 0.8 \times \sqrt[3]{q}\\$$  then find the value of p/q.

Correct option is C

Given:

$$\sqrt[3]{0.08 \times 0.8 \times p} = 0.008 \times 0.8 \times \sqrt[3]{q}$$​

Solution:

​​​$$\text{Cube the above given equation both sides}\\8^2 \times 10^{-3} \times p = 8^6 \times 10^{-12} \times q\\\frac{p}{q} = \frac{8^6 \times 10^{-12}}{8^2 \times 10^{-3}} = 8^4 \times 10^{-9}$$​​