Solve 6000*10^-10*10*10^-2/2*0.05*10^-3

$$\frac { 6000 \times 10 ^ { - 10 } \times 10 \times 10 ^ { - 2 } } { 2 \times 0.05 \times 10 ^ { - 3 } }$$

Evaluate

$$0.0006$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -10 and 1 to get -9.

$$\frac{6000\times 10^{-9}\times 10^{-2}}{2\times 0.05\times 10^{-3}}$$

To multiply powers of the same base, add their exponents. Add -9 and -2 to get -11.

$$\frac{6000\times 10^{-11}}{2\times 0.05\times 10^{-3}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3000\times 10^{-11}}{0.05\times 10^{-3}}$$

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

$$\frac{3000}{0.05\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3000}{0.05\times 100000000}$$

Multiply 0.05 and 100000000 to get 5000000.

$$\frac{3000}{5000000}$$

Reduce the fraction \frac{3000}{5000000} to lowest terms by extracting and canceling out 1000.

$$\frac{3}{5000}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 5 ^ {4}} = 0.0006$$