Solve (4*10^-9(-3*10^-9)/25

$$\frac { ( 4 \times 10 ^ { - 9 } ( - 3 \times 10 ^ { - 9 } ) } { 25 }$$

Evaluate

$$-\frac{3}{6250000000000000000}=-4.8 \cdot 10^{-19}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -9 and -9 to get -18.

$$\frac{4\times 10^{-18}\left(-3\right)}{25}$$

Calculate 10 to the power of -18 and get \frac{1}{1000000000000000000}.

$$\frac{4\times \frac{1}{1000000000000000000}\left(-3\right)}{25}$$

Multiply 4 and \frac{1}{1000000000000000000} to get \frac{1}{250000000000000000}.

$$\frac{\frac{1}{250000000000000000}\left(-3\right)}{25}$$

Multiply \frac{1}{250000000000000000} and -3 to get -\frac{3}{250000000000000000}.

$$\frac{-\frac{3}{250000000000000000}}{25}$$

Express \frac{-\frac{3}{250000000000000000}}{25} as a single fraction.

$$\frac{-3}{250000000000000000\times 25}$$

Multiply 250000000000000000 and 25 to get 6250000000000000000.

$$\frac{-3}{6250000000000000000}$$

Fraction \frac{-3}{6250000000000000000} can be rewritten as -\frac{3}{6250000000000000000} by extracting the negative sign.

$$-\frac{3}{6250000000000000000}$$

Factor

$$-\frac{3}{6250000000000000000} = -4.800000000000001 \times 10^{-19}$$