Prove that: `(sqrt(3\ xx\ 5^(-3))\ -:root(3)(3^(-1))\ sqrt(5))\ xx\ (3\ xx\ 5^6)^(1/6)\ =3/5`

Explanation

To prove that

\[ \left( \sqrt{3 \cdot 5^{-3}} \div \sqrt[3]{3^{-1}} \cdot \sqrt{5} \right) \cdot (3 \cdot 5^6)^{1/6} = \frac{3}{5} \]

we will simplify the left-hand side (LHS) step by step.

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