Solve -5-{[(-3)^4+sqrt[3]{27}]-128div(-4)^3}+sqrt[5]{32}

$$- 5 - \{ [ ( - 3 ) ^ { 4 } + \sqrt[ 3 ] { 27 } ] - 128 \div ( - 4 ) ^ { 3 } \} + \sqrt[ 5 ] { 32 }$$

Evaluate

$$-89$$

Solution Steps

Calculate -3 to the power of 4 and get 81.

$$-5-\left(81+\sqrt[3]{27}-\frac{128}{\left(-4\right)^{3}}\right)+\sqrt[5]{32}$$

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

$$-5-\left(81+3-\frac{128}{\left(-4\right)^{3}}\right)+\sqrt[5]{32}$$

Add 81 and 3 to get 84.

$$-5-\left(84-\frac{128}{\left(-4\right)^{3}}\right)+\sqrt[5]{32}$$

Calculate -4 to the power of 3 and get -64.

$$-5-\left(84-\frac{128}{-64}\right)+\sqrt[5]{32}$$

Divide 128 by -64 to get -2.

$$-5-\left(84-\left(-2\right)\right)+\sqrt[5]{32}$$

The opposite of -2 is 2.

$$-5-\left(84+2\right)+\sqrt[5]{32}$$

Add 84 and 2 to get 86.

$$-5-86+\sqrt[5]{32}$$

Subtract 86 from -5 to get -91.

$$-91+\sqrt[5]{32}$$

Calculate \sqrt[5]{32} and get 2.

$$-91+2$$

Add -91 and 2 to get -89.

$$-89$$

Factor

$$-89$$