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

$$2 \frac { 3 } { 4 } ( - 2 ^ { 2 } - 1 ^ { 2 } ) \cdot - 2 ^ { 2 } \cdot - 1$$

Evaluate

$$-55$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 3 to get 11.

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

Calculate 2 to the power of 2 and get 4.

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

Calculate 1 to the power of 2 and get 1.

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

Subtract 1 from -4 to get -5.

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

Express \frac{11}{4}\left(-5\right) as a single fraction.

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

Multiply 11 and -5 to get -55.

$$\frac{-55}{4}\left(-2^{2}\right)\left(-1\right)$$

Fraction \frac{-55}{4} can be rewritten as -\frac{55}{4} by extracting the negative sign.

$$-\frac{55}{4}\left(-2^{2}\right)\left(-1\right)$$

Calculate 2 to the power of 2 and get 4.

$$-\frac{55}{4}\left(-4\right)\left(-1\right)$$

Express -\frac{55}{4}\left(-4\right) as a single fraction.

$$\frac{-55\left(-4\right)}{4}\left(-1\right)$$

Multiply -55 and -4 to get 220.

$$\frac{220}{4}\left(-1\right)$$

Divide 220 by 4 to get 55.

$$55\left(-1\right)$$

Multiply 55 and -1 to get -55.

$$-55$$

Factor

$$-55$$