Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]^-1 correct to 2 decimal places

If b³ = a^-2 and c^{\(\frac{1}{3}\)} = a^{\(\frac{1}{2}\)}b, express c in terms of a

Given that log₄(Y - 1) + log₄(\(\frac{1}{2}\)x) = 1 and log₂(y + 1) + log₂x = 2, solve for x and y respectively

Find the value of k if \(\frac{k}{\sqrt{3} + \sqrt{2}}\) = k\(\sqrt{3 - 2}\)