Solve 6.6710^-11*1.06910^43

$$6.67 { 10 }^{ -11 } \times 1.069 { 10 }^{ 4 } 3$$

Evaluate

$$0.000002139069$$

Solution Steps

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

$$6.67\times 10^{-7}\times 1.069\times 3$$

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

$$6.67\times \frac{1}{10000000}\times 1.069\times 3$$

Multiply 6.67 and \frac{1}{10000000} to get \frac{667}{1000000000}.

$$\frac{667}{1000000000}\times 1.069\times 3$$

Multiply \frac{667}{1000000000} and 1.069 to get \frac{713023}{1000000000000}.

$$\frac{713023}{1000000000000}\times 3$$

Multiply \frac{713023}{1000000000000} and 3 to get \frac{2139069}{1000000000000}.

$$\frac{2139069}{1000000000000}$$

Factor

$$\frac{3 \cdot 23 \cdot 29 \cdot 1069}{2 ^ {12} \cdot 5 ^ {12}} = 2.139069 \times 10^{-6}$$