Solve 0.4*10^-6*0.8*10^-6*9*10^9/0.2

$$\frac { 0.4 \times 10 ^ { - 6 } \times 0.8 \times 10 ^ { - 6 } \times 9 \times 10 ^ { 9 } } { 0.2 }$$

Evaluate

$$0.0144$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -6 to get -12.

$$\frac{0.4\times 10^{-12}\times 0.8\times 9\times 10^{9}}{0.2}$$

To multiply powers of the same base, add their exponents. Add -12 and 9 to get -3.

$$\frac{0.4\times 10^{-3}\times 0.8\times 9}{0.2}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{0.4\times \frac{1}{1000}\times 0.8\times 9}{0.2}$$

Multiply 0.4 and \frac{1}{1000} to get \frac{1}{2500}.

$$\frac{\frac{1}{2500}\times 0.8\times 9}{0.2}$$

Multiply \frac{1}{2500} and 0.8 to get \frac{1}{3125}.

$$\frac{\frac{1}{3125}\times 9}{0.2}$$

Multiply \frac{1}{3125} and 9 to get \frac{9}{3125}.

$$\frac{\frac{9}{3125}}{0.2}$$

Express \frac{\frac{9}{3125}}{0.2} as a single fraction.

$$\frac{9}{3125\times 0.2}$$

Multiply 3125 and 0.2 to get 625.

$$\frac{9}{625}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {4}} = 0.0144$$