Solve (12+8)^2div5*2/6^2-4^2

$$\frac { ( 12 + 8 ) ^ { 2 } \div 5 \times 2 } { 6 ^ { 2 } - 4 ^ { 2 } }$$

Evaluate

$$8$$

Solution Steps

Add 12 and 8 to get 20.

$$\frac{\frac{20^{2}}{5}\times 2}{6^{2}-4^{2}}$$

Calculate 20 to the power of 2 and get 400.

$$\frac{\frac{400}{5}\times 2}{6^{2}-4^{2}}$$

Divide 400 by 5 to get 80.

$$\frac{80\times 2}{6^{2}-4^{2}}$$

Multiply 80 and 2 to get 160.

$$\frac{160}{6^{2}-4^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{160}{36-4^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{160}{36-16}$$

Subtract 16 from 36 to get 20.

$$\frac{160}{20}$$

Divide 160 by 20 to get 8.

$$8$$

Factor

$$2^{3}$$