Solve 4*10^-8*3*10^-6

$$4 \cdot 10 ^ { - 8 } \cdot 3 \cdot 10 ^ { - 6 }$$

Evaluate

$$\frac{3}{25000000000000}=1.2 \cdot 10^{-13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -8 and -6 to get -14.

$$4\times 10^{-14}\times 3$$

Calculate 10 to the power of -14 and get \frac{1}{100000000000000}.

$$4\times \frac{1}{100000000000000}\times 3$$

Multiply 4 and \frac{1}{100000000000000} to get \frac{1}{25000000000000}.

$$\frac{1}{25000000000000}\times 3$$

Multiply \frac{1}{25000000000000} and 3 to get \frac{3}{25000000000000}.

$$\frac{3}{25000000000000}$$

Factor

$$\frac{3}{2 ^ {12} \cdot 5 ^ {14}} = 1.2 \times 10^{-13}$$