Solve 1.2*10^-5/(1.988*10^-3)(1.988*10^-3)

$$\frac{ 1.2 \times { 10 }^{ -5 } }{ (1.988 \times { 10 }^{ -3 } )(1.988 \times { 10 }^{ -3 } ) }$$

Evaluate

$$\frac{750000}{247009}\approx 3.036326612$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -3 to get -6.

$$\frac{1.2\times 10^{-5}}{1.988\times 10^{-6}\times 1.988}$$

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

$$\frac{1.2\times 10^{1}}{1.988\times 1.988}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{1.2\times 10}{1.988\times 1.988}$$

Multiply 1.2 and 10 to get 12.

$$\frac{12}{1.988\times 1.988}$$

Multiply 1.988 and 1.988 to get 3.952144.

$$\frac{12}{3.952144}$$

Expand \frac{12}{3.952144} by multiplying both numerator and the denominator by 1000000.

$$\frac{12000000}{3952144}$$

Reduce the fraction \frac{12000000}{3952144} to lowest terms by extracting and canceling out 16.

$$\frac{750000}{247009}$$

Factor

$$\frac{3 \cdot 2 ^ {4} \cdot 5 ^ {6}}{7 ^ {2} \cdot 71 ^ {2}} = 3\frac{8973}{247009} = 3.0363266115809546$$