Solve (8-3)^2-(4+1)^3/5^2

$$( 8 - 3 ) ^ { 2 } - \frac { ( 4 + 1 ) ^ { 3 } } { 5 ^ { 2 } }$$

Evaluate

$$20$$

Solution Steps

Subtract 3 from 8 to get 5.

$$5^{2}-\frac{\left(4+1\right)^{3}}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$25-\frac{\left(4+1\right)^{3}}{5^{2}}$$

Add 4 and 1 to get 5.

$$25-\frac{5^{3}}{5^{2}}$$

Calculate 5 to the power of 3 and get 125.

$$25-\frac{125}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$25-\frac{125}{25}$$

Divide 125 by 25 to get 5.

$$25-5$$

Subtract 5 from 25 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$