Question

Evaluate: $(0.008{)}^{\frac{2}{3}}$

• A. $0.01$
• B. $0.04$
• C. $0.002$
• D. $0.003$

Answer 1

The correct option is B $0.04$

$(0.008{)}^{\frac{2}{3}}$

$={\left(\left(\frac{8}{1000}\right)\right)}^{\frac{2}{3}}$

$={\left((\frac{2}{10}{)}^3\right)}^{\frac{2}{3}}$

$={0.2}^{(3\times \frac{2}{3})}$

$={0.2}^2$

$=0.04$