Solve 4*0.001*10^3/3.14*(100^2*10^-6)

$$\frac{ 4 \times 0.001 \times { 10 }^{ 3 } }{ 3.14 \times ( { 100 }^{ 2 } \times { 10 }^{ -6 } ) }$$

Evaluate

$$\frac{20000}{157}\approx 127.388535032$$

Solution Steps

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

$$\frac{0.001\times 4\times 10^{9}}{3.14\times 100^{2}}$$

Multiply 0.001 and 4 to get 0.004.

$$\frac{0.004\times 10^{9}}{3.14\times 100^{2}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{0.004\times 1000000000}{3.14\times 100^{2}}$$

Multiply 0.004 and 1000000000 to get 4000000.

$$\frac{4000000}{3.14\times 100^{2}}$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{4000000}{3.14\times 10000}$$

Multiply 3.14 and 10000 to get 31400.

$$\frac{4000000}{31400}$$

Reduce the fraction \frac{4000000}{31400} to lowest terms by extracting and canceling out 200.

$$\frac{20000}{157}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {4}}{157} = 127\frac{61}{157} = 127.38853503184713$$