Solve [11+-15-1/2+3/frac{5-17{2}+3}]^3-(-1)

$$[ \frac { 11 + \frac { - 15 - 1 } { 2 } + 3 } { \frac { 5 - 17 } { 2 } + 3 } ] ^ { 3 } - ( - 1 )$$

Evaluate

$$-7$$

Solution Steps

Subtract 1 from -15 to get -16.

$$\left(\frac{11+\frac{-16}{2}+3}{\frac{5-17}{2}+3}\right)^{3}-\left(-1\right)$$

Divide -16 by 2 to get -8.

$$\left(\frac{11-8+3}{\frac{5-17}{2}+3}\right)^{3}-\left(-1\right)$$

Subtract 8 from 11 to get 3.

$$\left(\frac{3+3}{\frac{5-17}{2}+3}\right)^{3}-\left(-1\right)$$

Add 3 and 3 to get 6.

$$\left(\frac{6}{\frac{5-17}{2}+3}\right)^{3}-\left(-1\right)$$

Subtract 17 from 5 to get -12.

$$\left(\frac{6}{\frac{-12}{2}+3}\right)^{3}-\left(-1\right)$$

Divide -12 by 2 to get -6.

$$\left(\frac{6}{-6+3}\right)^{3}-\left(-1\right)$$

Add -6 and 3 to get -3.

$$\left(\frac{6}{-3}\right)^{3}-\left(-1\right)$$

Divide 6 by -3 to get -2.

$$\left(-2\right)^{3}-\left(-1\right)$$

Calculate -2 to the power of 3 and get -8.

$$-8-\left(-1\right)$$

The opposite of -1 is 1.

$$-8+1$$

Add -8 and 1 to get -7.

$$-7$$

Factor

$$-7$$