Solve sqrt[6]{64}-sqrt[5]{(-3)^5}+sqrt[3]{(-1)^9}

$$\sqrt[ 6 ] { 64 } - \sqrt[ 5 ] { ( - 3 ) ^ { 5 } } + \sqrt[ 3 ] { ( - 1 ) ^ { 9 } }$$

Evaluate

$$4$$

Solution Steps

Calculate \sqrt[6]{64} and get 2.

$$2-\sqrt[5]{\left(-3\right)^{5}}+\sqrt[3]{\left(-1\right)^{9}}$$

Calculate -3 to the power of 5 and get -243.

$$2-\sqrt[5]{-243}+\sqrt[3]{\left(-1\right)^{9}}$$

Calculate \sqrt[5]{-243} and get -3.

$$2-\left(-3\right)+\sqrt[3]{\left(-1\right)^{9}}$$

The opposite of -3 is 3.

$$2+3+\sqrt[3]{\left(-1\right)^{9}}$$

Add 2 and 3 to get 5.

$$5+\sqrt[3]{\left(-1\right)^{9}}$$

Calculate -1 to the power of 9 and get -1.

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

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

$$5-1$$

Subtract 1 from 5 to get 4.

$$4$$

Factor

$$2^{2}$$