Solve 3/4((-2)^4-1)/-2-1=

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

Evaluate

$$-\frac{15}{4}=-3.75$$

Solution Steps

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

$$\frac{\frac{3}{4}\left(16-1\right)}{-2-1}$$

Subtract 1 from 16 to get 15.

$$\frac{\frac{3}{4}\times 15}{-2-1}$$

Express \frac{3}{4}\times 15 as a single fraction.

$$\frac{\frac{3\times 15}{4}}{-2-1}$$

Multiply 3 and 15 to get 45.

$$\frac{\frac{45}{4}}{-2-1}$$

Subtract 1 from -2 to get -3.

$$\frac{\frac{45}{4}}{-3}$$

Express \frac{\frac{45}{4}}{-3} as a single fraction.

$$\frac{45}{4\left(-3\right)}$$

Multiply 4 and -3 to get -12.

$$\frac{45}{-12}$$

Reduce the fraction \frac{45}{-12} to lowest terms by extracting and canceling out 3.

$$-\frac{15}{4}$$

Factor

$$-\frac{15}{4} = -3\frac{3}{4} = -3.75$$