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

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

Evaluate

$$-0.0144$$

Solution Steps

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

$$9\times 10^{9}\times \frac{0.4\times 10^{-12}\left(-0.8\right)}{0.2}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{0.4\times 10^{-12}\left(-0.8\right)}{0.2}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{0.4\times 10^{-12}\left(-0.8\right)}{0.2}$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$9000000000\times \frac{0.4\times \frac{1}{1000000000000}\left(-0.8\right)}{0.2}$$

Multiply 0.4 and \frac{1}{1000000000000} to get \frac{1}{2500000000000}.

$$9000000000\times \frac{\frac{1}{2500000000000}\left(-0.8\right)}{0.2}$$

Multiply \frac{1}{2500000000000} and -0.8 to get -\frac{1}{3125000000000}.

$$9000000000\times \frac{-\frac{1}{3125000000000}}{0.2}$$

Express \frac{-\frac{1}{3125000000000}}{0.2} as a single fraction.

$$9000000000\times \frac{-1}{3125000000000\times 0.2}$$

Multiply 3125000000000 and 0.2 to get 625000000000.

$$9000000000\times \frac{-1}{625000000000}$$

Fraction \frac{-1}{625000000000} can be rewritten as -\frac{1}{625000000000} by extracting the negative sign.

$$9000000000\left(-\frac{1}{625000000000}\right)$$

Multiply 9000000000 and -\frac{1}{625000000000} to get -\frac{9}{625}.

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

Factor

$$-0.0144$$