Solve 5(-2)^4-3(-2)/4(-2)^3

$$\frac { 5 ( - 2 ) ^ { 4 } - 3 ( - 2 ) } { 4 ( - 2 ) ^ { 3 } }$$

Evaluate

$$-\frac{43}{16}=-2.6875$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$\frac{5\times 16-3\left(-2\right)}{4\left(-2\right)^{3}}$$

Multiply 5 and 16 to get 80.

$$\frac{80-3\left(-2\right)}{4\left(-2\right)^{3}}$$

Multiply 3 and -2 to get -6.

$$\frac{80-\left(-6\right)}{4\left(-2\right)^{3}}$$

The opposite of -6 is 6.

$$\frac{80+6}{4\left(-2\right)^{3}}$$

Add 80 and 6 to get 86.

$$\frac{86}{4\left(-2\right)^{3}}$$

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

$$\frac{86}{4\left(-8\right)}$$

Multiply 4 and -8 to get -32.

$$\frac{86}{-32}$$

Reduce the fraction \frac{86}{-32} to lowest terms by extracting and canceling out 2.

$$-\frac{43}{16}$$

Factor

$$-\frac{43}{16} = -2\frac{11}{16} = -2.6875$$