Solve -2^3div(-1/6)-1/4*-2^2

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

Evaluate

$$47$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{-8}{-\frac{1}{6}}-\frac{1}{4}\left(-2\right)^{2}$$

Divide -8 by -\frac{1}{6} by multiplying -8 by the reciprocal of -\frac{1}{6}.

$$-8\left(-6\right)-\frac{1}{4}\left(-2\right)^{2}$$

Multiply -8 and -6 to get 48.

$$48-\frac{1}{4}\left(-2\right)^{2}$$

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

$$48-\frac{1}{4}\times 4$$

Cancel out 4 and 4.

$$48-1$$

Subtract 1 from 48 to get 47.

$$47$$

Factor

$$47$$