Solve 4/3*3.14*6400^3

$$\frac{ 4 }{ 3 } \times 3.14 \times { 6400 }^{ 3 }$$

Evaluate

$$\frac{3292528640000}{3}\approx 1.097509547 \cdot 10^{12}$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 6400^{3}$$

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

$$\frac{4\times 157}{3\times 50}\times 6400^{3}$$

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

$$\frac{628}{150}\times 6400^{3}$$

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

$$\frac{314}{75}\times 6400^{3}$$

Calculate 6400 to the power of 3 and get 262144000000.

$$\frac{314}{75}\times 262144000000$$

Express \frac{314}{75}\times 262144000000 as a single fraction.

$$\frac{314\times 262144000000}{75}$$

Multiply 314 and 262144000000 to get 82313216000000.

$$\frac{82313216000000}{75}$$

Reduce the fraction \frac{82313216000000}{75} to lowest terms by extracting and canceling out 25.

$$\frac{3292528640000}{3}$$

Factor

$$\frac{157 \cdot 2 ^ {25} \cdot 5 ^ {4}}{3} = 1097509546666\frac{2}{3} = 1097509546666.6666$$