Solve (750/3,6)^2/9*9,8

$$\frac { ( \frac { 750 } { 3,6 } ) ^ { 2 } } { 9 \times 9,8 }$$

Evaluate

$$\frac{1953125}{3969}\approx 492,094986143$$

Solution Steps

Expand \frac{750}{3,6} by multiplying both numerator and the denominator by 10.

$$\frac{\left(\frac{7500}{36}\right)^{2}}{9\times 9,8}$$

Reduce the fraction \frac{7500}{36} to lowest terms by extracting and canceling out 12.

$$\frac{\left(\frac{625}{3}\right)^{2}}{9\times 9,8}$$

Calculate \frac{625}{3} to the power of 2 and get \frac{390625}{9}.

$$\frac{\frac{390625}{9}}{9\times 9,8}$$

Multiply 9 and 9,8 to get 88,2.

$$\frac{\frac{390625}{9}}{88,2}$$

Express \frac{\frac{390625}{9}}{88,2} as a single fraction.

$$\frac{390625}{9\times 88,2}$$

Multiply 9 and 88,2 to get 793,8.

$$\frac{390625}{793,8}$$

Expand \frac{390625}{793,8} by multiplying both numerator and the denominator by 10.

$$\frac{3906250}{7938}$$

Reduce the fraction \frac{3906250}{7938} to lowest terms by extracting and canceling out 2.

$$\frac{1953125}{3969}$$

Factor

$$\frac{5 ^ {9}}{3 ^ {4} \cdot 7 ^ {2}} = 492\frac{377}{3969} = 492.0949861426052$$