Solve 10^-3*4*10^-2/3*10^-3

$$\frac { 10 ^ { - 3 } \times 4 \times 10 ^ { - 2 } } { 3 \times 10 ^ { - 3 } }$$

Evaluate

$$\frac{1}{75}\approx 0.013333333$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -2 to get -5.

$$\frac{10^{-5}\times 4}{3\times 10^{-3}}$$

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

$$\frac{4}{3\times 10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{4}{3\times 100}$$

Multiply 3 and 100 to get 300.

$$\frac{4}{300}$$

Reduce the fraction \frac{4}{300} to lowest terms by extracting and canceling out 4.

$$\frac{1}{75}$$

Factor

$$\frac{1}{3 \cdot 5 ^ {2}} = 0.013333333333333334$$