Solve 3/4(314)(53)^3

$$3 / 4 ( 314 ) ( 53 ) ^ { 3 }$$

Evaluate

$$\frac{70121067}{2}=35060533.5$$

Solution Steps

Express \frac{3}{4}\times 314 as a single fraction.

$$\frac{3\times 314}{4}\times 53^{3}$$

Multiply 3 and 314 to get 942.

$$\frac{942}{4}\times 53^{3}$$

Reduce the fraction \frac{942}{4} to lowest terms by extracting and canceling out 2.

$$\frac{471}{2}\times 53^{3}$$

Calculate 53 to the power of 3 and get 148877.

$$\frac{471}{2}\times 148877$$

Express \frac{471}{2}\times 148877 as a single fraction.

$$\frac{471\times 148877}{2}$$

Multiply 471 and 148877 to get 70121067.

$$\frac{70121067}{2}$$

Factor

$$\frac{3 \cdot 53 ^ {3} \cdot 157}{2} = 35060533\frac{1}{2} = 35060533.5$$