Solve 4,75/2,25^frac{3{2}-1}=

$$\frac { 4,75 } { 2,25 ^ { \frac { 3 } { 2 } } - 1 } =$$

Evaluate

$$\frac{19}{996}\approx 0,019076305$$

Solution Steps

Calculate 25 to the power of \frac{3}{2} and get 125.

$$\frac{4,75}{2\times 125-1}$$

Multiply 2 and 125 to get 250.

$$\frac{4,75}{250-1}$$

Subtract 1 from 250 to get 249.

$$\frac{4,75}{249}$$

Expand \frac{4,75}{249} by multiplying both numerator and the denominator by 100.

$$\frac{475}{24900}$$

Reduce the fraction \frac{475}{24900} to lowest terms by extracting and canceling out 25.

$$\frac{19}{996}$$

Factor

$$\frac{19}{3 \cdot 83 \cdot 2 ^ {2}} = 0.019076305220883535$$