Solve (45,20-45,335)^2/10(20-3)=

$$\frac { ( 45,20 - 45,335 ) ^ { 2 } } { 10 ( 20 - 3 ) } =$$

Evaluate

$$\frac{729}{6800000}\approx 0,000107206$$

Solution Steps

Subtract 45,335 from 45,2 to get -0,135.

$$\frac{\left(-0,135\right)^{2}}{10\left(20-3\right)}$$

Calculate -0,135 to the power of 2 and get 0,018225.

$$\frac{0,018225}{10\left(20-3\right)}$$

Subtract 3 from 20 to get 17.

$$\frac{0,018225}{10\times 17}$$

Multiply 10 and 17 to get 170.

$$\frac{0,018225}{170}$$

Expand \frac{0,018225}{170} by multiplying both numerator and the denominator by 1000000.

$$\frac{18225}{170000000}$$

Reduce the fraction \frac{18225}{170000000} to lowest terms by extracting and canceling out 25.

$$\frac{729}{6800000}$$

Factor

$$\frac{3 ^ {6}}{17 \cdot 2 ^ {7} \cdot 5 ^ {5}} = 0.00010720588235294117$$