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

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

Evaluate

$$\frac{10}{7}\approx 1.428571429$$

Solution Steps

Subtract 5 from 1 to get -4.

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

Multiply -3 and -4 to get 12.

$$\frac{12+2\left(3-5\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Subtract 5 from 3 to get -2.

$$\frac{12+2\left(-2\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{12+2\times 4}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Multiply 2 and 4 to get 8.

$$\frac{12+8}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Add 12 and 8 to get 20.

$$\frac{20}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Subtract 8 from 4 to get -4.

$$\frac{20}{\left(-4\right)^{2}+2\left(-1\right)^{5}}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{20}{16+2\left(-1\right)^{5}}$$

Calculate -1 to the power of 5 and get -1.

$$\frac{20}{16+2\left(-1\right)}$$

Multiply 2 and -1 to get -2.

$$\frac{20}{16-2}$$

Subtract 2 from 16 to get 14.

$$\frac{20}{14}$$

Reduce the fraction \frac{20}{14} to lowest terms by extracting and canceling out 2.

$$\frac{10}{7}$$

Factor

$$\frac{2 \cdot 5}{7} = 1\frac{3}{7} = 1.4285714285714286$$