Solve 66710^-11*106910^43

$$667 { 10 }^{ -11 } \times 1069 { 10 }^{ 4 } 3$$

Evaluate

$$\frac{2139069}{10000000}=0.2139069$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 4 to get -7.

$$667\times 10^{-7}\times 1069\times 3$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$667\times \frac{1}{10000000}\times 1069\times 3$$

Multiply 667 and \frac{1}{10000000} to get \frac{667}{10000000}.

$$\frac{667}{10000000}\times 1069\times 3$$

Multiply \frac{667}{10000000} and 1069 to get \frac{713023}{10000000}.

$$\frac{713023}{10000000}\times 3$$

Multiply \frac{713023}{10000000} and 3 to get \frac{2139069}{10000000}.

$$\frac{2139069}{10000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 29 \cdot 1069}{2 ^ {7} \cdot 5 ^ {7}} = 0.2139069$$