Question
Evaluate the following: $\sqrt[3]{\frac{0.027}{0.008}}\div\sqrt\frac{0.09}{0.04}-1$
✓
Answer
To evaluate the value of the given expression, we need to proceed as follows: $\sqrt[3]{\frac{0.027}{0.008}}\div\sqrt\frac{0.09}{0.04}-1$
$=\sqrt[3]{\frac{\frac{27}{1000}}{\frac{8}{1000}}}\div\sqrt[3]{\frac{\frac{9}{100}}{\frac{4}{100}}}-1$
$=\sqrt[3]{\frac{27}{8}}\div\sqrt[3]{\frac{9}{4}}-1$
$={\frac{\sqrt[3]{27}}{\sqrt[3]{8}}}\div{\frac{\sqrt[3]{9}}{\sqrt[3]{4}}}-1$$=\frac{3}{2}\div\frac{3}{2}-1$
$= \frac{3^1}{2}\times\frac{2^1}{3}-1$
$=1-1=0$
Thus, the answer is $0.$
$=\sqrt[3]{\frac{\frac{27}{1000}}{\frac{8}{1000}}}\div\sqrt[3]{\frac{\frac{9}{100}}{\frac{4}{100}}}-1$
$=\sqrt[3]{\frac{27}{8}}\div\sqrt[3]{\frac{9}{4}}-1$
$={\frac{\sqrt[3]{27}}{\sqrt[3]{8}}}\div{\frac{\sqrt[3]{9}}{\sqrt[3]{4}}}-1$$=\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 $0.$
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