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

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

Evaluate

$$\frac{8}{81}\approx 0.098765432$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

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

Multiply \frac{2}{3} and 1 to get \frac{2}{3}.

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

Calculate 2 to the power of 2 and get 4.

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

Express \frac{2}{3}\times 4 as a single fraction.

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

Multiply 2 and 4 to get 8.

$$\frac{8}{3}\times \left(\frac{1}{3}\right)^{3}$$

Calculate \frac{1}{3} to the power of 3 and get \frac{1}{27}.

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

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

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

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

$$\frac{8}{81}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {4}} = 0.09876543209876543$$