Solve 5*(3+2)^2:(2^2*5)=

$$5 \times ( 3 + 2 ) ^ { 2 } : ( 2 ^ { 2 } \times 5 ) =$$

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Cancel out 5 in both numerator and denominator.

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

Add 2 and 3 to get 5.

$$\frac{5^{2}}{2^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{25}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$