Solve 1/4-6^3+6-6^2-4(-6)-2

$$\frac{ 1 }{ 4 } { -6 }^{ 3 } +6 { -6 }^{ 2 } -4(-6)-2$$

Evaluate

$$184$$

Solution Steps

Calculate -6 to the power of 3 and get -216.

$$\frac{1}{4}\left(-216\right)+6\left(-6\right)^{2}-4\left(-6\right)-2$$

Multiply \frac{1}{4} and -216 to get \frac{-216}{4}.

$$\frac{-216}{4}+6\left(-6\right)^{2}-4\left(-6\right)-2$$

Divide -216 by 4 to get -54.

$$-54+6\left(-6\right)^{2}-4\left(-6\right)-2$$

Calculate -6 to the power of 2 and get 36.

$$-54+6\times 36-4\left(-6\right)-2$$

Multiply 6 and 36 to get 216.

$$-54+216-4\left(-6\right)-2$$

Add -54 and 216 to get 162.

$$162-4\left(-6\right)-2$$

Multiply 4 and -6 to get -24.

$$162-\left(-24\right)-2$$

The opposite of -24 is 24.

$$162+24-2$$

Add 162 and 24 to get 186.

$$186-2$$

Subtract 2 from 186 to get 184.

$$184$$

Factor

$$2^{3}\times 23$$