Solve 1/9*10^9*9*10^-3

$$\frac{ 1 }{ 9 \times { 10 }^{ 9 } } \times 9 \times { 10 }^{ -3 }$$

Evaluate

$$\frac{1}{1000000000000}= 10^{-12}$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{1}{9\times 1000000000}\times 9\times 10^{-3}$$

Multiply 9 and 1000000000 to get 9000000000.

$$\frac{1}{9000000000}\times 9\times 10^{-3}$$

Multiply \frac{1}{9000000000} and 9 to get \frac{1}{1000000000}.

$$\frac{1}{1000000000}\times 10^{-3}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{1}{1000000000}\times \frac{1}{1000}$$

Multiply \frac{1}{1000000000} and \frac{1}{1000} to get \frac{1}{1000000000000}.

$$\frac{1}{1000000000000}$$

Factor

$$\frac{1}{2 ^ {12} \cdot 5 ^ {12}} = 1 \times 10^{-12}$$