Solve 5^2+8^2-10^2/2*8*5

$$\frac{ { 5 }^{ 2 } + { 8 }^{ 2 } - { 10 }^{ 2 } }{ 2 \times 8 \times 5 }$$

Evaluate

$$-\frac{11}{80}=-0.1375$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{25+8^{2}-10^{2}}{2\times 8\times 5}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{25+64-10^{2}}{2\times 8\times 5}$$

Add 25 and 64 to get 89.

$$\frac{89-10^{2}}{2\times 8\times 5}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{89-100}{2\times 8\times 5}$$

Subtract 100 from 89 to get -11.

$$\frac{-11}{2\times 8\times 5}$$

Multiply 2 and 8 to get 16.

$$\frac{-11}{16\times 5}$$

Multiply 16 and 5 to get 80.

$$\frac{-11}{80}$$

Fraction \frac{-11}{80} can be rewritten as -\frac{11}{80} by extracting the negative sign.

$$-\frac{11}{80}$$

Factor

$$-\frac{11}{80} = -0.1375$$