Solve left(50-59right)^20.5+left(60-59right)^20.3+left(80-59right)^20.2

$${ \left(50-59 \right) }^{ 2 } 0.5+ { \left(60-59 \right) }^{ 2 } 0.3+ { \left(80-59 \right) }^{ 2 } 0.2$$

Evaluate

$$129$$

Solution Steps

Subtract 59 from 50 to get -9.

$$\left(-9\right)^{2}\times 0.5+\left(60-59\right)^{2}\times 0.3+\left(80-59\right)^{2}\times 0.2$$

Calculate -9 to the power of 2 and get 81.

$$81\times 0.5+\left(60-59\right)^{2}\times 0.3+\left(80-59\right)^{2}\times 0.2$$

Multiply 81 and 0.5 to get 40.5.

$$40.5+\left(60-59\right)^{2}\times 0.3+\left(80-59\right)^{2}\times 0.2$$

Subtract 59 from 60 to get 1.

$$40.5+1^{2}\times 0.3+\left(80-59\right)^{2}\times 0.2$$

Calculate 1 to the power of 2 and get 1.

$$40.5+1\times 0.3+\left(80-59\right)^{2}\times 0.2$$

Multiply 1 and 0.3 to get 0.3.

$$40.5+0.3+\left(80-59\right)^{2}\times 0.2$$

Add 40.5 and 0.3 to get 40.8.

$$40.8+\left(80-59\right)^{2}\times 0.2$$

Subtract 59 from 80 to get 21.

$$40.8+21^{2}\times 0.2$$

Calculate 21 to the power of 2 and get 441.

$$40.8+441\times 0.2$$

Multiply 441 and 0.2 to get 88.2.

$$40.8+88.2$$

Add 40.8 and 88.2 to get 129.

$$129$$

Factor

$$3\times 43$$