Solve sqrt[3]{-1}-sqrt[5]{1}+sqrt[7]{-1}+sqrt[9]{1}+2^3

$$\sqrt[ 3 ] { - 1 } - \sqrt[ 5 ] { 1 } + \sqrt[ 7 ] { - 1 } + \sqrt[ 9 ] { 1 } + 2 ^ { 3 }$$

Evaluate

$$6$$

Solution Steps

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

$$-1-\sqrt[5]{1}+\sqrt[7]{-1}+\sqrt[9]{1}+2^{3}$$

Calculate \sqrt[5]{1} and get 1.

$$-1-1+\sqrt[7]{-1}+\sqrt[9]{1}+2^{3}$$

Subtract 1 from -1 to get -2.

$$-2+\sqrt[7]{-1}+\sqrt[9]{1}+2^{3}$$

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

$$-2-1+\sqrt[9]{1}+2^{3}$$

Subtract 1 from -2 to get -3.

$$-3+\sqrt[9]{1}+2^{3}$$

Calculate \sqrt[9]{1} and get 1.

$$-3+1+2^{3}$$

Add -3 and 1 to get -2.

$$-2+2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$-2+8$$

Add -2 and 8 to get 6.

$$6$$

Factor

$$2\times 3$$