Solve sqrt[7]{-1}+sqrt[8]{0}+sqrt[6]{(-3)^6}-sqrt[5]{-2^5}

$$\sqrt[ 7 ] { - 1 } + \sqrt[ 8 ] { 0 } + \sqrt[ 6 ] { ( - 3 ) ^ { 6 } } - \sqrt[ 5 ] { - 2 ^ { 5 } }$$

Evaluate

$$4$$

Solution Steps

Calculate \sqrt[7]{-1} and get -1.

$$-1+\sqrt[8]{0}+\sqrt[6]{\left(-3\right)^{6}}-\sqrt[5]{-2^{5}}$$

Calculate \sqrt[8]{0} and get 0.

$$-1+0+\sqrt[6]{\left(-3\right)^{6}}-\sqrt[5]{-2^{5}}$$

Add -1 and 0 to get -1.

$$-1+\sqrt[6]{\left(-3\right)^{6}}-\sqrt[5]{-2^{5}}$$

Calculate -3 to the power of 6 and get 729.

$$-1+\sqrt[6]{729}-\sqrt[5]{-2^{5}}$$

Calculate \sqrt[6]{729} and get 3.

$$-1+3-\sqrt[5]{-2^{5}}$$

Add -1 and 3 to get 2.

$$2-\sqrt[5]{-2^{5}}$$

Calculate 2 to the power of 5 and get 32.

$$2-\sqrt[5]{-32}$$

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

$$2-\left(-2\right)$$

The opposite of -2 is 2.

$$2+2$$

Add 2 and 2 to get 4.

$$4$$

Factor

$$2^{2}$$