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

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

Evaluate

$$\frac{255}{2}=127.5$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$\frac{\frac{3}{2}\left(1-256\right)}{-3}$$

Subtract 256 from 1 to get -255.

$$\frac{\frac{3}{2}\left(-255\right)}{-3}$$

Express \frac{3}{2}\left(-255\right) as a single fraction.

$$\frac{\frac{3\left(-255\right)}{2}}{-3}$$

Multiply 3 and -255 to get -765.

$$\frac{\frac{-765}{2}}{-3}$$

Fraction \frac{-765}{2} can be rewritten as -\frac{765}{2} by extracting the negative sign.

$$\frac{-\frac{765}{2}}{-3}$$

Express \frac{-\frac{765}{2}}{-3} as a single fraction.

$$\frac{-765}{2\left(-3\right)}$$

Multiply 2 and -3 to get -6.

$$\frac{-765}{-6}$$

Reduce the fraction \frac{-765}{-6} to lowest terms by extracting and canceling out -3.

$$\frac{255}{2}$$

Factor

$$\frac{3 \cdot 5 \cdot 17}{2} = 127\frac{1}{2} = 127.5$$