Solve 4/33.14*4^3

$$\frac { 4 } { 3 } 3.14 \times 4 ^ { 3 }$$

Evaluate

$$\frac{20096}{75}\approx 267.946666667$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}\times \frac{157}{50}\times 4^{3}$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 4^{3}$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 4^{3}$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$\frac{314}{75}\times 64$$

Express \frac{314}{75}\times 64 as a single fraction.

$$\frac{314\times 64}{75}$$

Multiply 314 and 64 to get 20096.

$$\frac{20096}{75}$$

Factor

$$\frac{157 \cdot 2 ^ {7}}{3 \cdot 5 ^ {2}} = 267\frac{71}{75} = 267.94666666666666$$