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

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

Evaluate

$$-0.0144$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 0.4\left(-0.8\right)\times 10^{-6}}{0.2}$$

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

$$\frac{9\times 10^{-3}\times 0.4\left(-0.8\right)}{0.2}$$

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

$$\frac{9\times \frac{1}{1000}\times 0.4\left(-0.8\right)}{0.2}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$\frac{\frac{9}{1000}\times 0.4\left(-0.8\right)}{0.2}$$

Multiply \frac{9}{1000} and 0.4 to get \frac{9}{2500}.

$$\frac{\frac{9}{2500}\left(-0.8\right)}{0.2}$$

Multiply \frac{9}{2500} and -0.8 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.

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

Fraction \frac{-9}{625} can be rewritten as -\frac{9}{625} by extracting the negative sign.

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

Factor

$$-0.0144$$