Solve (6.64*10^-5)(3.32*10^-7)

$$( 6.64 \times 10 ^ { - 5 } ) ( 3.32 \times 10 ^ { - 7 } )$$

Evaluate

$$0.0000000000220448$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -7 to get -12.

$$6.64\times 10^{-12}\times 3.32$$

Calculate 10 to the power of -12 and get \frac{1}{1000000000000}.

$$6.64\times \frac{1}{1000000000000}\times 3.32$$

Multiply 6.64 and \frac{1}{1000000000000} to get \frac{83}{12500000000000}.

$$\frac{83}{12500000000000}\times 3.32$$

Multiply \frac{83}{12500000000000} and 3.32 to get \frac{6889}{312500000000000}.

$$\frac{6889}{312500000000000}$$

Factor

$$\frac{83 ^ {2}}{2 ^ {11} \cdot 5 ^ {16}} = 2.20448 \times 10^{-11}$$