Solve 4^5*3^8/6^9

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Calculate 4 to the power of 5 and get 1024.

$$\frac{1024\times 3^{8}}{6^{9}}$$

Calculate 3 to the power of 8 and get 6561.

$$\frac{1024\times 6561}{6^{9}}$$

Multiply 1024 and 6561 to get 6718464.

$$\frac{6718464}{6^{9}}$$

Calculate 6 to the power of 9 and get 10077696.

$$\frac{6718464}{10077696}$$

Reduce the fraction \frac{6718464}{10077696} to lowest terms by extracting and canceling out 3359232.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$