Question

Evaluate of the following

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt[]{\frac{0 . 09}{0 . 04}} - 1\]

Answer 1

To evaluate the value of the expression, we need to proceed as follows:

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt{\frac{0 . 09}{0 . 04}} - 1 = \sqrt[3]{\frac{\frac{27}{1000}}{\frac{8}{1000}}} \div \sqrt{\frac{\frac{9}{100}}{\frac{4}{100}}} - 1 = \sqrt[3]{\frac{27}{8}} \div \sqrt{\frac{9}{4}} - 1 = \frac{\sqrt[3]{27}}{\sqrt[3]{8}} \div \frac{\sqrt{9}}{\sqrt{4}} - 1 = \frac{3}{2} \div \frac{3}{2} - 1 = \frac{3^1}{2} \times \frac{2^1}{3} - 1 = 1 - 1 = 0\]

Thus, the answer is 0.