Solve (2^3*3)^2/2^3*3^5

$$\frac { ( 2 ^ { 3 } \cdot 3 ) ^ { 2 } } { 2 ^ { 3 } \cdot 3 ^ { 5 } }$$

Evaluate

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

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{\left(8\times 3\right)^{2}}{2^{3}\times 3^{5}}$$

Multiply 8 and 3 to get 24.

$$\frac{24^{2}}{2^{3}\times 3^{5}}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{576}{2^{3}\times 3^{5}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{576}{8\times 3^{5}}$$

Calculate 3 to the power of 5 and get 243.

$$\frac{576}{8\times 243}$$

Multiply 8 and 243 to get 1944.

$$\frac{576}{1944}$$

Reduce the fraction \frac{576}{1944} to lowest terms by extracting and canceling out 72.

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

Factor

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