Solve 10^2+6^2-8^2/2*10*6

$$\frac{ { 10 }^{ 2 } + { 6 }^{ 2 } - { 8 }^{ 2 } }{ 2 \times 10 \times 6 }$$

Evaluate

$$\frac{3}{5}=0.6$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{100+6^{2}-8^{2}}{2\times 10\times 6}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{100+36-8^{2}}{2\times 10\times 6}$$

Add 100 and 36 to get 136.

$$\frac{136-8^{2}}{2\times 10\times 6}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{136-64}{2\times 10\times 6}$$

Subtract 64 from 136 to get 72.

$$\frac{72}{2\times 10\times 6}$$

Multiply 2 and 10 to get 20.

$$\frac{72}{20\times 6}$$

Multiply 20 and 6 to get 120.

$$\frac{72}{120}$$

Reduce the fraction \frac{72}{120} to lowest terms by extracting and canceling out 24.

$$\frac{3}{5}$$

Factor

$$\frac{3}{5} = 0.6$$