Solve sqrt[3]{-125}-(-4)^2-4^2+sqrt[4]{9^2}

$$\sqrt[ 3 ] { - 125 } - ( - 4 ) ^ { 2 } - 4 ^ { 2 } + \sqrt[ 4 ] { 9 ^ { 2 } }$$

Evaluate

$$-34$$

Solution Steps

Calculate \sqrt[3]{-125} and get -5.

$$-5-\left(-4\right)^{2}-4^{2}+\sqrt[4]{9^{2}}$$

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

$$-5-16-4^{2}+\sqrt[4]{9^{2}}$$

Subtract 16 from -5 to get -21.

$$-21-4^{2}+\sqrt[4]{9^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$-21-16+\sqrt[4]{9^{2}}$$

Subtract 16 from -21 to get -37.

$$-37+\sqrt[4]{9^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$-37+\sqrt[4]{81}$$

Calculate \sqrt[4]{81} and get 3.

$$-37+3$$

Add -37 and 3 to get -34.

$$-34$$

Factor

$$-34$$