Solve (-1.5*10^-16)*(-1.2*10^-3)

$$( - 1.5 \times 10 ^ { - 16 } ) \times ( - 1.2 \times 10 ^ { - 3 } )$$

Evaluate

$$0.00000000000000000018$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -16 and -3 to get -19.

$$-1.5\times 10^{-19}\left(-1.2\right)$$

Calculate 10 to the power of -19 and get \frac{1}{10000000000000000000}.

$$-1.5\times \frac{1}{10000000000000000000}\left(-1.2\right)$$

Multiply -1.5 and \frac{1}{10000000000000000000} to get -\frac{3}{20000000000000000000}.

$$-\frac{3}{20000000000000000000}\left(-1.2\right)$$

Multiply -\frac{3}{20000000000000000000} and -1.2 to get \frac{9}{50000000000000000000}.

$$\frac{9}{50000000000000000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {19} \cdot 5 ^ {20}} = 1.8 \times 10^{-19}$$