Solve -3(7-5)+2(3-5)^2/(4-8)^2+2(-1)^5

$$\frac { - 3 ( 7 - 5 ) + 2 ( 3 - 5 ) ^ { 2 } } { ( 4 - 8 ) ^ { 2 } + 2 ( - 1 ) ^ { 5 } }$$

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

Subtract 5 from 7 to get 2.

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

Multiply -3 and 2 to get -6.

$$\frac{-6+2\left(3-5\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Subtract 5 from 3 to get -2.

$$\frac{-6+2\left(-2\right)^{2}}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

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

$$\frac{-6+2\times 4}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Multiply 2 and 4 to get 8.

$$\frac{-6+8}{\left(4-8\right)^{2}+2\left(-1\right)^{5}}$$

Add -6 and 8 to get 2.

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

Subtract 8 from 4 to get -4.

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

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

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

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

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

Multiply 2 and -1 to get -2.

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

Subtract 2 from 16 to get 14.

$$\frac{2}{14}$$

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

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$