Solve (8.67*10^-5)*(6.78*10^-3)

$$( 8.67 \times 10 ^ { - 5 } ) \times ( 6.78 \times 10 ^ { - 3 } )$$

Evaluate

$$0.000000587826$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -3 to get -8.

$$8.67\times 10^{-8}\times 6.78$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$8.67\times \frac{1}{100000000}\times 6.78$$

Multiply 8.67 and \frac{1}{100000000} to get \frac{867}{10000000000}.

$$\frac{867}{10000000000}\times 6.78$$

Multiply \frac{867}{10000000000} and 6.78 to get \frac{293913}{500000000000}.

$$\frac{293913}{500000000000}$$

Factor

$$\frac{113 \cdot 3 ^ {2} \cdot 17 ^ {2}}{2 ^ {11} \cdot 5 ^ {12}} = 5.87826 \times 10^{-7}$$