Solve 3*10^-3*7*10^-3

$$3 \times { 10 }^{ -3 } \times 7 \times { 10 }^{ -3 }$$

Evaluate

$$\frac{21}{1000000}=0.000021$$

Solution Steps

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

$$3\times 10^{-6}\times 7$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$3\times \frac{1}{1000000}\times 7$$

Multiply 3 and \frac{1}{1000000} to get \frac{3}{1000000}.

$$\frac{3}{1000000}\times 7$$

Multiply \frac{3}{1000000} and 7 to get \frac{21}{1000000}.

$$\frac{21}{1000000}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {6} \cdot 5 ^ {6}} = 2.0999999999999996 \times 10^{-5}$$