Solve 6.67*10^-11*2.7*10^6

$$6.67 \times { 10 }^{ -11 } \times 2.7 \times { 10 }^{ 6 }$$

Evaluate

$$0.00018009$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 6 to get -5.

$$6.67\times 10^{-5}\times 2.7$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$6.67\times \frac{1}{100000}\times 2.7$$

Multiply 6.67 and \frac{1}{100000} to get \frac{667}{10000000}.

$$\frac{667}{10000000}\times 2.7$$

Multiply \frac{667}{10000000} and 2.7 to get \frac{18009}{100000000}.

$$\frac{18009}{100000000}$$

Factor

$$\frac{23 \cdot 29 \cdot 3 ^ {3}}{2 ^ {8} \cdot 5 ^ {8}} = 0.00018009$$