Solve (828*10^-6)(2*10^-3)

$$( 828 \times 10 ^ { - 6 } ) ( 2 \times 10 ^ { - 3 } )$$

Evaluate

$$\frac{207}{125000000}=0.000001656$$

Solution Steps

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

$$828\times 10^{-9}\times 2$$

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

$$828\times \frac{1}{1000000000}\times 2$$

Multiply 828 and \frac{1}{1000000000} to get \frac{207}{250000000}.

$$\frac{207}{250000000}\times 2$$

Multiply \frac{207}{250000000} and 2 to get \frac{207}{125000000}.

$$\frac{207}{125000000}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {6} \cdot 5 ^ {9}} = 1.656 \times 10^{-6}$$