Solve (25/1){left(3/2right)}^2

$$( \frac{ 25 }{ 1 } ) { \left( \frac{ 3 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$\frac{225}{4}=56.25$$

Solution Steps

Anything divided by one gives itself.

$$25\times \left(\frac{3}{2}\right)^{2}$$

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$25\times \frac{9}{4}$$

Express 25\times \frac{9}{4} as a single fraction.

$$\frac{25\times 9}{4}$$

Multiply 25 and 9 to get 225.

$$\frac{225}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{2 ^ {2}} = 56\frac{1}{4} = 56.25$$