Solve 1div3*{left(2/3right)}^3*4

$$1 \div 3 \times { \left( \frac{ 2 }{ 3 } \right) }^{ 3 } \times 4$$

Evaluate

$$\frac{32}{81}\approx 0.395061728$$

Solution Steps

Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.

$$\frac{1}{3}\times \frac{8}{27}\times 4$$

Multiply \frac{1}{3} times \frac{8}{27} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{3\times 27}\times 4$$

Do the multiplications in the fraction \frac{1\times 8}{3\times 27}.

$$\frac{8}{81}\times 4$$

Express \frac{8}{81}\times 4 as a single fraction.

$$\frac{8\times 4}{81}$$

Multiply 8 and 4 to get 32.

$$\frac{32}{81}$$

Factor

$$\frac{2 ^ {5}}{3 ^ {4}} = 0.3950617283950617$$