Solve (0.8)(0.1)^2/9*10^9

$$\frac { ( 0.8 ) ( 0.1 ) ^ { 2 } } { 9 \times 10 ^ { 9 } }$$

Evaluate

$$\frac{1}{1125000000000}\approx 8.888888889 \cdot 10^{-13}$$

Solution Steps

Calculate 0.1 to the power of 2 and get 0.01.

$$\frac{0.8\times 0.01}{9\times 10^{9}}$$

Multiply 0.8 and 0.01 to get 0.008.

$$\frac{0.008}{9\times 10^{9}}$$

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{0.008}{9\times 1000000000}$$

Multiply 9 and 1000000000 to get 9000000000.

$$\frac{0.008}{9000000000}$$

Expand \frac{0.008}{9000000000} by multiplying both numerator and the denominator by 1000.

$$\frac{8}{9000000000000}$$

Reduce the fraction \frac{8}{9000000000000} to lowest terms by extracting and canceling out 8.

$$\frac{1}{1125000000000}$$

Factor

$$\frac{1}{2 ^ {9} \cdot 3 ^ {2} \cdot 5 ^ {12}} = 8.88888888888889 \times 10^{-13}$$