Solve 8*18^-2-8*10^-3/0,36

$$\frac { 8 \times 18 ^ { - 2 } - 8 \times 10 ^ { - 3 } } { 0,36 }$$

Evaluate

$$\frac{169}{3645}\approx 0,046364883$$

Solution Steps

Calculate 18 to the power of -2 and get \frac{1}{324}.

$$\frac{8\times \frac{1}{324}-8\times 10^{-3}}{0,36}$$

Multiply 8 and \frac{1}{324} to get \frac{2}{81}.

$$\frac{\frac{2}{81}-8\times 10^{-3}}{0,36}$$

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

$$\frac{\frac{2}{81}-8\times \frac{1}{1000}}{0,36}$$

Multiply 8 and \frac{1}{1000} to get \frac{1}{125}.

$$\frac{\frac{2}{81}-\frac{1}{125}}{0,36}$$

Subtract \frac{1}{125} from \frac{2}{81} to get \frac{169}{10125}.

$$\frac{\frac{169}{10125}}{0,36}$$

Express \frac{\frac{169}{10125}}{0,36} as a single fraction.

$$\frac{169}{10125\times 0,36}$$

Multiply 10125 and 0,36 to get 3645.

$$\frac{169}{3645}$$

Factor

$$\frac{13 ^ {2}}{5 \cdot 3 ^ {6}} = 0.04636488340192044$$