Solve 36^11/18^1122^9/11^9

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

Evaluate

$$1048576$$

Solution Steps

Calculate 36 to the power of 11 and get 131621703842267136.

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

Calculate 18 to the power of 11 and get 64268410079232.

$$\frac{131621703842267136}{64268410079232}\times \frac{22^{9}}{11^{9}}$$

Divide 131621703842267136 by 64268410079232 to get 2048.

$$2048\times \frac{22^{9}}{11^{9}}$$

Calculate 22 to the power of 9 and get 1207269217792.

$$2048\times \frac{1207269217792}{11^{9}}$$

Calculate 11 to the power of 9 and get 2357947691.

$$2048\times \frac{1207269217792}{2357947691}$$

Divide 1207269217792 by 2357947691 to get 512.

$$2048\times 512$$

Multiply 2048 and 512 to get 1048576.

$$1048576$$

Factor

$$2^{20}$$