Solve -1^4*(-51/2)*4/11+-2^3

$$- { 1 }^{ 4 } \times (-5 \frac{ 1 }{ 2 } ) \times \frac{ 4 }{ 11 } + { -2 }^{ 3 }$$

Evaluate

$$-6$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

$$-\left(-\frac{5\times 2+1}{2}\right)\times \frac{4}{11}+\left(-2\right)^{3}$$

Multiply 5 and 2 to get 10.

$$-\left(-\frac{10+1}{2}\right)\times \frac{4}{11}+\left(-2\right)^{3}$$

Add 10 and 1 to get 11.

$$-\left(-\frac{11}{2}\right)\times \frac{4}{11}+\left(-2\right)^{3}$$

Multiply -1 and -\frac{11}{2} to get \frac{11}{2}.

$$\frac{11}{2}\times \frac{4}{11}+\left(-2\right)^{3}$$

Multiply \frac{11}{2} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 4}{2\times 11}+\left(-2\right)^{3}$$

Cancel out 11 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

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

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

$$2-8$$

Subtract 8 from 2 to get -6.

$$-6$$

Factor

$$-6$$