Solve (-12)^{2}+(-1/9)^-1+(1-3)^2/4(-1)^3-5(1-(-4+3))^-1

$$( - 12 ) ^ { 2 } + ( - \frac { 1 } { 9 } ) ^ { - 1 } + \frac { ( 1 - 3 ) ^ { 2 } } { 4 } ( - 1 ) ^ { 3 } - 5 ( 1 - ( - 4 + 3 ) ) ^ { - 1 }$$

Evaluate

$$\frac{263}{2}=131.5$$

Solution Steps

Calculate -12 to the power of 2 and get 144.

$$144+\left(-\frac{1}{9}\right)^{-1}+\frac{\left(1-3\right)^{2}}{4}\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

Calculate -\frac{1}{9} to the power of -1 and get -9.

$$144-9+\frac{\left(1-3\right)^{2}}{4}\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

Subtract 9 from 144 to get 135.

$$135+\frac{\left(1-3\right)^{2}}{4}\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

Subtract 3 from 1 to get -2.

$$135+\frac{\left(-2\right)^{2}}{4}\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

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

$$135+\frac{4}{4}\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

Divide 4 by 4 to get 1.

$$135+1\left(-1\right)^{3}-5\left(1-\left(-4+3\right)\right)^{-1}$$

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

$$135+1\left(-1\right)-5\left(1-\left(-4+3\right)\right)^{-1}$$

Multiply 1 and -1 to get -1.

$$135-1-5\left(1-\left(-4+3\right)\right)^{-1}$$

Subtract 1 from 135 to get 134.

$$134-5\left(1-\left(-4+3\right)\right)^{-1}$$

Add -4 and 3 to get -1.

$$134-5\left(1-\left(-1\right)\right)^{-1}$$

The opposite of -1 is 1.

$$134-5\left(1+1\right)^{-1}$$

Add 1 and 1 to get 2.

$$134-5\times 2^{-1}$$

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$134-5\times \frac{1}{2}$$

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

$$134-\frac{5}{2}$$

Subtract \frac{5}{2} from 134 to get \frac{263}{2}.

$$\frac{263}{2}$$

Factor

$$\frac{263}{2} = 131\frac{1}{2} = 131.5$$