Solve (6,4*10^-6)*(1,6*10^-19)

$$( 6,4 \times 10 ^ { - 6 } ) \times ( 1,6 \times 10 ^ { - 19 } )$$

Evaluate

$$0,000000000000000000000001024$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -6 and -19 to get -25.

$$6,4\times 10^{-25}\times 1,6$$

Calculate 10 to the power of -25 and get \frac{1}{10000000000000000000000000}.

$$6,4\times \frac{1}{10000000000000000000000000}\times 1,6$$

Multiply 6,4 and \frac{1}{10000000000000000000000000} to get \frac{1}{1562500000000000000000000}.

$$\frac{1}{1562500000000000000000000}\times 1,6$$

Multiply \frac{1}{1562500000000000000000000} and 1,6 to get \frac{1}{976562500000000000000000}.

$$\frac{1}{976562500000000000000000}$$

Factor

$$\frac{1}{2 ^ {17} \cdot 5 ^ {27}} = 1.024 \times 10^{-24}$$