Solve (-2)^3+(-3)*[(-4)^2*2div1/2-1^4]

$$( - 2 ) ^ { 3 } + ( - 3 ) \times [ ( - 4 ) ^ { 2 } \times 2 \div \frac { 1 } { 2 } - 1 ^ { 4 } ]$$

Evaluate

$$-197$$

Solution Steps

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

$$-8-3\left(\frac{\left(-4\right)^{2}\times 2}{\frac{1}{2}}-1^{4}\right)$$

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

$$-8-3\left(\frac{16\times 2}{\frac{1}{2}}-1^{4}\right)$$

Multiply 16 and 2 to get 32.

$$-8-3\left(\frac{32}{\frac{1}{2}}-1^{4}\right)$$

Divide 32 by \frac{1}{2} by multiplying 32 by the reciprocal of \frac{1}{2}.

$$-8-3\left(32\times 2-1^{4}\right)$$

Multiply 32 and 2 to get 64.

$$-8-3\left(64-1^{4}\right)$$

Calculate 1 to the power of 4 and get 1.

$$-8-3\left(64-1\right)$$

Subtract 1 from 64 to get 63.

$$-8-3\times 63$$

Multiply -3 and 63 to get -189.

$$-8-189$$

Subtract 189 from -8 to get -197.

$$-197$$

Factor

$$-197$$