Solve 27^8div4^7div81^2

$$27 ^ { 8 } \div 4 ^ { 7 } \div 81 ^ { 2 }$$

Evaluate

$$\frac{43046721}{16384}\approx 2627.363342285$$

Solution Steps

Calculate 27 to the power of 8 and get 282429536481.

$$\frac{\frac{282429536481}{4^{7}}}{81^{2}}$$

Calculate 4 to the power of 7 and get 16384.

$$\frac{\frac{282429536481}{16384}}{81^{2}}$$

Calculate 81 to the power of 2 and get 6561.

$$\frac{\frac{282429536481}{16384}}{6561}$$

Express \frac{\frac{282429536481}{16384}}{6561} as a single fraction.

$$\frac{282429536481}{16384\times 6561}$$

Multiply 16384 and 6561 to get 107495424.

$$\frac{282429536481}{107495424}$$

Reduce the fraction \frac{282429536481}{107495424} to lowest terms by extracting and canceling out 6561.

$$\frac{43046721}{16384}$$

Factor

$$\frac{3 ^ {16}}{2 ^ {14}} = 2627\frac{5953}{16384} = 2627.3633422851562$$