Solve 36^11/18^11*22^9/19^9

$$\frac{ { 36 }^{ 11 } }{ { 18 }^{ 11 } } \times \frac{ { 22 }^{ 9 } }{ { 19 }^{ 9 } }$$

Evaluate

$$\frac{2472487358038016}{322687697779}\approx 7662.168018972$$

Solution Steps

Calculate 36 to the power of 11 and get 131621703842267136.

$$\frac{131621703842267136}{18^{11}}\times \frac{22^{9}}{19^{9}}$$

Calculate 18 to the power of 11 and get 64268410079232.

$$\frac{131621703842267136}{64268410079232}\times \frac{22^{9}}{19^{9}}$$

Divide 131621703842267136 by 64268410079232 to get 2048.

$$2048\times \frac{22^{9}}{19^{9}}$$

Calculate 22 to the power of 9 and get 1207269217792.

$$2048\times \frac{1207269217792}{19^{9}}$$

Calculate 19 to the power of 9 and get 322687697779.

$$2048\times \frac{1207269217792}{322687697779}$$

Express 2048\times \frac{1207269217792}{322687697779} as a single fraction.

$$\frac{2048\times 1207269217792}{322687697779}$$

Multiply 2048 and 1207269217792 to get 2472487358038016.

$$\frac{2472487358038016}{322687697779}$$

Factor

$$\frac{2 ^ {20} \cdot 11 ^ {9}}{19 ^ {9}} = 7662\frac{54217655318}{322687697779} = 7662.1680189721865$$