Solve (4)sqrt[3]{-64}+sqrt[3]{27}-2*sqrt[3]{-1/8}

$$( 4 ) \sqrt[ 3 ] { - 64 } + \sqrt[ 3 ] { 27 } - 2 \times \sqrt[ 3 ] { - \frac { 1 } { 8 } }$$

Evaluate

$$-12$$

Solution Steps

Calculate \sqrt[3]{-64} and get -4.

$$4\left(-4\right)+\sqrt[3]{27}-2\sqrt[3]{-\frac{1}{8}}$$

Multiply 4 and -4 to get -16.

$$-16+\sqrt[3]{27}-2\sqrt[3]{-\frac{1}{8}}$$

Calculate \sqrt[3]{27} and get 3.

$$-16+3-2\sqrt[3]{-\frac{1}{8}}$$

Add -16 and 3 to get -13.

$$-13-2\sqrt[3]{-\frac{1}{8}}$$

Calculate \sqrt[3]{-\frac{1}{8}} and get -\frac{1}{2}.

$$-13-2\left(-\frac{1}{2}\right)$$

Multiply -2 and -\frac{1}{2} to get 1.

$$-13+1$$

Add -13 and 1 to get -12.

$$-12$$

Factor

$$-12$$