Solve 3,2^3*4,9^4/5,6^5

$$\frac { 3,2 ^ { 3 } \cdot 4,9 ^ { 4 } } { 5,6 ^ { 5 } }$$

Evaluate

$$\frac{81}{5}=16,2$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{3\times 8\times 4\times 9^{4}}{5\times 6^{5}}$$

Multiply 3 and 8 to get 24.

$$\frac{24\times 4\times 9^{4}}{5\times 6^{5}}$$

Multiply 24 and 4 to get 96.

$$\frac{96\times 9^{4}}{5\times 6^{5}}$$

Calculate 9 to the power of 4 and get 6561.

$$\frac{96\times 6561}{5\times 6^{5}}$$

Multiply 96 and 6561 to get 629856.

$$\frac{629856}{5\times 6^{5}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{629856}{5\times 7776}$$

Multiply 5 and 7776 to get 38880.

$$\frac{629856}{38880}$$

Reduce the fraction \frac{629856}{38880} to lowest terms by extracting and canceling out 7776.

$$\frac{81}{5}$$

Factor

$$\frac{3 ^ {4}}{5} = 16\frac{1}{5} = 16.2$$