Solve (-2)^2div1/2*[6-(-2)^3]

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

Evaluate

$$112$$

Solution Steps

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

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

Divide 4 by \frac{1}{2} by multiplying 4 by the reciprocal of \frac{1}{2}.

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

Multiply 4 and 2 to get 8.

$$8\left(6-\left(-2\right)^{3}\right)$$

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

$$8\left(6-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$8\left(6+8\right)$$

Add 6 and 8 to get 14.

$$8\times 14$$

Multiply 8 and 14 to get 112.

$$112$$

Factor

$$2^{4}\times 7$$