Solve 1824(314/6)8^2

$$1824 ( \frac { 314 } { 6 } ) 8 ^ { 2 }$$

Evaluate

$$6109184$$

Solution Steps

Reduce the fraction \frac{314}{6} to lowest terms by extracting and canceling out 2.

$$1824\times \frac{157}{3}\times 8^{2}$$

Express 1824\times \frac{157}{3} as a single fraction.

$$\frac{1824\times 157}{3}\times 8^{2}$$

Multiply 1824 and 157 to get 286368.

$$\frac{286368}{3}\times 8^{2}$$

Divide 286368 by 3 to get 95456.

$$95456\times 8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$95456\times 64$$

Multiply 95456 and 64 to get 6109184.

$$6109184$$

Factor

$$2^{11}\times 19\times 157$$