Solve 8^5/2^524^4/6^4

$$\frac{ { 8 }^{ 5 } }{ { 2 }^{ 5 } } \frac{ { 24 }^{ 4 } }{ { 6 }^{ 4 } }$$

Evaluate

$$262144$$

Solution Steps

Calculate 8 to the power of 5 and get 32768.

$$\frac{32768}{2^{5}}\times \frac{24^{4}}{6^{4}}$$

Calculate 2 to the power of 5 and get 32.

$$\frac{32768}{32}\times \frac{24^{4}}{6^{4}}$$

Divide 32768 by 32 to get 1024.

$$1024\times \frac{24^{4}}{6^{4}}$$

Calculate 24 to the power of 4 and get 331776.

$$1024\times \frac{331776}{6^{4}}$$

Calculate 6 to the power of 4 and get 1296.

$$1024\times \frac{331776}{1296}$$

Divide 331776 by 1296 to get 256.

$$1024\times 256$$

Multiply 1024 and 256 to get 262144.

$$262144$$

Factor

$$2^{18}$$