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

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

Evaluate

$$-eS-\frac{1331}{216}$$

Solution Steps

Subtract 2 from -15 to get -17.

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

Fraction \frac{-17}{2} can be rewritten as -\frac{17}{2} by extracting the negative sign.

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

Subtract \frac{17}{2} from 11 to get \frac{5}{2}.

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

Add \frac{5}{2} and 3 to get \frac{11}{2}.

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

Subtract 17 from 5 to get -12.

$$\left(\frac{\frac{11}{2}}{\frac{-12}{2}+3}\right)^{3}-\left(-1+2\right)eS$$

Divide -12 by 2 to get -6.

$$\left(\frac{\frac{11}{2}}{-6+3}\right)^{3}-\left(-1+2\right)eS$$

Add -6 and 3 to get -3.

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

Express \frac{\frac{11}{2}}{-3} as a single fraction.

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

Multiply 2 and -3 to get -6.

$$\left(\frac{11}{-6}\right)^{3}-\left(-1+2\right)eS$$

Fraction \frac{11}{-6} can be rewritten as -\frac{11}{6} by extracting the negative sign.

$$\left(-\frac{11}{6}\right)^{3}-\left(-1+2\right)eS$$

Calculate -\frac{11}{6} to the power of 3 and get -\frac{1331}{216}.

$$-\frac{1331}{216}-\left(-1+2\right)eS$$

Add -1 and 2 to get 1.

$$-\frac{1331}{216}-1eS$$

Multiply -1 and 1 to get -1.

$$-\frac{1331}{216}-eS$$

Expand

$$-eS-\frac{1331}{216}$$

Solution Steps

Subtract 2 from -15 to get -17.

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

Fraction \frac{-17}{2} can be rewritten as -\frac{17}{2} by extracting the negative sign.

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

Subtract \frac{17}{2} from 11 to get \frac{5}{2}.

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

Add \frac{5}{2} and 3 to get \frac{11}{2}.

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

Subtract 17 from 5 to get -12.

$$\left(\frac{\frac{11}{2}}{\frac{-12}{2}+3}\right)^{3}-\left(-1+2\right)eS$$

Divide -12 by 2 to get -6.

$$\left(\frac{\frac{11}{2}}{-6+3}\right)^{3}-\left(-1+2\right)eS$$

Add -6 and 3 to get -3.

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

Express \frac{\frac{11}{2}}{-3} as a single fraction.

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

Multiply 2 and -3 to get -6.

$$\left(\frac{11}{-6}\right)^{3}-\left(-1+2\right)eS$$

Fraction \frac{11}{-6} can be rewritten as -\frac{11}{6} by extracting the negative sign.

$$\left(-\frac{11}{6}\right)^{3}-\left(-1+2\right)eS$$

Calculate -\frac{11}{6} to the power of 3 and get -\frac{1331}{216}.

$$-\frac{1331}{216}-\left(-1+2\right)eS$$

Add -1 and 2 to get 1.

$$-\frac{1331}{216}-1eS$$

Multiply -1 and 1 to get -1.

$$-\frac{1331}{216}-eS$$