Solve 0.3*10^-3*0.1024*10^-6

$$0.3 \times 10 ^ { - 3 } \times 0.1024 \times 10 ^ { - 6 }$$

Evaluate

$$0.00000000003072$$

Solution Steps

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

$$0.3\times 10^{-9}\times 0.1024$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$0.3\times \frac{1}{1000000000}\times 0.1024$$

Multiply 0.3 and \frac{1}{1000000000} to get \frac{3}{10000000000}.

$$\frac{3}{10000000000}\times 0.1024$$

Multiply \frac{3}{10000000000} and 0.1024 to get \frac{3}{97656250000}.

$$\frac{3}{97656250000}$$

Factor

$$\frac{3}{2 ^ {4} \cdot 5 ^ {14}} = 3.072 \times 10^{-11}$$