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

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

Evaluate

$$-32$$

Solution Steps

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

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

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

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

Divide 81 by 3 to get 27.

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

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

$$-5-\left(27-\frac{128}{-64}\right)+\sqrt[5]{32}$$

Divide 128 by -64 to get -2.

$$-5-\left(27-\left(-2\right)\right)+\sqrt[5]{32}$$

The opposite of -2 is 2.

$$-5-\left(27+2\right)+\sqrt[5]{32}$$

Add 27 and 2 to get 29.

$$-5-29+\sqrt[5]{32}$$

Subtract 29 from -5 to get -34.

$$-34+\sqrt[5]{32}$$

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

$$-34+2$$

Add -34 and 2 to get -32.

$$-32$$

Factor

$$-32$$