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

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

Evaluate

$$2\left(x-4\right)$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

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

Multiply 5 and 2 to get 10.

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

Add 10 and 1 to get 11.

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

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

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

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

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

Cancel out 11 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

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

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

$$2x-8$$

Expand

$$2x-8$$

Solution Steps

Calculate 1 to the power of 4 and get 1.

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

Multiply 5 and 2 to get 10.

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

Add 10 and 1 to get 11.

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

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

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

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

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

Cancel out 11 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

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

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

$$2x-8$$