Solve 5.6*10^-8*0.314/3.14^2*4*10^4

$$\frac{ 5.6 \times { 10 }^{ -8 } \times 0.314 }{ { 3.14 }^{ 2 } \times 4 \times { 10 }^{ 4 } }$$

Evaluate

$$\frac{7}{157000000000000}\approx 4.458598726 \cdot 10^{-14}$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{0.314\times 5.6}{4\times 3.14^{2}\times 10^{12}}$$

Multiply 0.314 and 5.6 to get 1.7584.

$$\frac{1.7584}{4\times 3.14^{2}\times 10^{12}}$$

Calculate 3.14 to the power of 2 and get 9.8596.

$$\frac{1.7584}{4\times 9.8596\times 10^{12}}$$

Multiply 4 and 9.8596 to get 39.4384.

$$\frac{1.7584}{39.4384\times 10^{12}}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{1.7584}{39.4384\times 1000000000000}$$

Multiply 39.4384 and 1000000000000 to get 39438400000000.

$$\frac{1.7584}{39438400000000}$$

Expand \frac{1.7584}{39438400000000} by multiplying both numerator and the denominator by 10000.

$$\frac{17584}{394384000000000000}$$

Reduce the fraction \frac{17584}{394384000000000000} to lowest terms by extracting and canceling out 2512.

$$\frac{7}{157000000000000}$$

Factor

$$\frac{7}{157 \cdot 2 ^ {12} \cdot 5 ^ {12}} = 4.45859872611465 \times 10^{-14}$$