Solve (-1)^3-7(-1)+4/9(-1)^4+6(-1)^2-2]

$$\frac { ( - 1 ) ^ { 3 } - 7 ( - 1 ) + 4 } { 9 ( - 1 ) ^ { 4 } + 6 ( - 1 ) ^ { 2 } - 2 } ]$$

Evaluate

$$\frac{10}{13}\approx 0.769230769$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$\frac{-1-7\left(-1\right)+4}{9\left(-1\right)^{4}+6\left(-1\right)^{2}-2}$$

Multiply 7 and -1 to get -7.

$$\frac{-1-\left(-7\right)+4}{9\left(-1\right)^{4}+6\left(-1\right)^{2}-2}$$

The opposite of -7 is 7.

$$\frac{-1+7+4}{9\left(-1\right)^{4}+6\left(-1\right)^{2}-2}$$

Add -1 and 7 to get 6.

$$\frac{6+4}{9\left(-1\right)^{4}+6\left(-1\right)^{2}-2}$$

Add 6 and 4 to get 10.

$$\frac{10}{9\left(-1\right)^{4}+6\left(-1\right)^{2}-2}$$

Calculate -1 to the power of 4 and get 1.

$$\frac{10}{9\times 1+6\left(-1\right)^{2}-2}$$

Multiply 9 and 1 to get 9.

$$\frac{10}{9+6\left(-1\right)^{2}-2}$$

Calculate -1 to the power of 2 and get 1.

$$\frac{10}{9+6\times 1-2}$$

Multiply 6 and 1 to get 6.

$$\frac{10}{9+6-2}$$

Add 9 and 6 to get 15.

$$\frac{10}{15-2}$$

Subtract 2 from 15 to get 13.

$$\frac{10}{13}$$

Factor

$$\frac{2 \cdot 5}{13} = 0.7692307692307693$$