Solve 3*2^3div3^3div3

$$3 \times { 2 }^{ 3 } \div { 3 }^{ 3 } \div 3$$

Evaluate

$$\frac{8}{27}\approx 0.296296296$$

Solution Steps

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

$$\frac{3\times 2^{3}}{3^{3}\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2^{3}}{3\times 3^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8}{3\times 3^{2}}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{8}{3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{8}{27}$$

Factor

$$\frac{2 ^ {3}}{3 ^ {3}} = 0.2962962962962963$$