Solve 23/4*left(-2^2--1^2right)*-2^2*-1

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

Evaluate

$$-33$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}\left(-2^{2}-\left(-1^{2}\right)\right)\left(-2^{2}\right)\left(-1\right)$$

Add 8 and 3 to get 11.

$$\frac{11}{4}\left(-2^{2}-\left(-1^{2}\right)\right)\left(-2^{2}\right)\left(-1\right)$$

Calculate 2 to the power of 2 and get 4.

$$\frac{11}{4}\left(-4-\left(-1^{2}\right)\right)\left(-2^{2}\right)\left(-1\right)$$

Calculate 1 to the power of 2 and get 1.

$$\frac{11}{4}\left(-4-\left(-1\right)\right)\left(-2^{2}\right)\left(-1\right)$$

The opposite of -1 is 1.

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

Add -4 and 1 to get -3.

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

Express \frac{11}{4}\left(-3\right) as a single fraction.

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

Multiply 11 and -3 to get -33.

$$\frac{-33}{4}\left(-2^{2}\right)\left(-1\right)$$

Fraction \frac{-33}{4} can be rewritten as -\frac{33}{4} by extracting the negative sign.

$$-\frac{33}{4}\left(-2^{2}\right)\left(-1\right)$$

Calculate 2 to the power of 2 and get 4.

$$-\frac{33}{4}\left(-4\right)\left(-1\right)$$

Express -\frac{33}{4}\left(-4\right) as a single fraction.

$$\frac{-33\left(-4\right)}{4}\left(-1\right)$$

Multiply -33 and -4 to get 132.

$$\frac{132}{4}\left(-1\right)$$

Divide 132 by 4 to get 33.

$$33\left(-1\right)$$

Multiply 33 and -1 to get -33.

$$-33$$

Factor

$$-33$$