Solve 4/33.14(3^3*10^15)

$$\frac{ 4 }{ 3 } 3.14( { 3 }^{ 3 } \times { 10 }^{ 15 } )$$

Evaluate

$$113040000000000000$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 3^{3}\times 10^{15}$$

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

$$\frac{4\times 157}{3\times 50}\times 3^{3}\times 10^{15}$$

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

$$\frac{628}{150}\times 3^{3}\times 10^{15}$$

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

$$\frac{314}{75}\times 3^{3}\times 10^{15}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{314}{75}\times 27\times 10^{15}$$

Express \frac{314}{75}\times 27 as a single fraction.

$$\frac{314\times 27}{75}\times 10^{15}$$

Multiply 314 and 27 to get 8478.

$$\frac{8478}{75}\times 10^{15}$$

Reduce the fraction \frac{8478}{75} to lowest terms by extracting and canceling out 3.

$$\frac{2826}{25}\times 10^{15}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{2826}{25}\times 1000000000000000$$

Express \frac{2826}{25}\times 1000000000000000 as a single fraction.

$$\frac{2826\times 1000000000000000}{25}$$

Multiply 2826 and 1000000000000000 to get 2826000000000000000.

$$\frac{2826000000000000000}{25}$$

Divide 2826000000000000000 by 25 to get 113040000000000000.

$$113040000000000000$$

Factor

$$157\times 2^{16}\times 3^{2}\times 5^{13}$$