Solve (8.1*10^-3)*(4.9*10^-7)

$$( 8.1 \times 10 ^ { - 3 } ) \times ( 4.9 \times 10 ^ { - 7 } )$$

Evaluate

$$0.000000003969$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -7 to get -10.

$$8.1\times 10^{-10}\times 4.9$$

Calculate 10 to the power of -10 and get \frac{1}{10000000000}.

$$8.1\times \frac{1}{10000000000}\times 4.9$$

Multiply 8.1 and \frac{1}{10000000000} to get \frac{81}{100000000000}.

$$\frac{81}{100000000000}\times 4.9$$

Multiply \frac{81}{100000000000} and 4.9 to get \frac{3969}{1000000000000}.

$$\frac{3969}{1000000000000}$$

Factor

$$\frac{3 ^ {4} \cdot 7 ^ {2}}{2 ^ {12} \cdot 5 ^ {12}} = 3.9689999999999994 \times 10^{-9}$$