Solve 0.2*8.8510^-12/7.910^-4

$$\frac{ 0.2 \cdot 8.85 { 10 }^{ -12 } }{ 7.9 { 10 }^{ -4 } }$$

Evaluate

$$\frac{177}{79000000000}\approx 2.240506329 \cdot 10^{-9}$$

Solution Steps

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

$$\frac{0.2\times 8.85}{7.9\times 10^{8}}$$

Multiply 0.2 and 8.85 to get 1.77.

$$\frac{1.77}{7.9\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{1.77}{7.9\times 100000000}$$

Multiply 7.9 and 100000000 to get 790000000.

$$\frac{1.77}{790000000}$$

Expand \frac{1.77}{790000000} by multiplying both numerator and the denominator by 100.

$$\frac{177}{79000000000}$$

Factor

$$\frac{3 \cdot 59}{79 \cdot 2 ^ {9} \cdot 5 ^ {9}} = 2.2405063291139236 \times 10^{-9}$$