Solve (-6)^2-sqrt[3]{(-7)^3}+sqrt[4]{(-4)^4}

$$( - 6 ) ^ { 2 } - \sqrt[ 3 ] { ( - 7 ) ^ { 3 } } + \sqrt[ 4 ] { ( - 4 ) ^ { 4 } }$$

Evaluate

$$47$$

Solution Steps

Calculate -6 to the power of 2 and get 36.

$$36-\sqrt[3]{\left(-7\right)^{3}}+\sqrt[4]{\left(-4\right)^{4}}$$

Calculate -7 to the power of 3 and get -343.

$$36-\sqrt[3]{-343}+\sqrt[4]{\left(-4\right)^{4}}$$

Calculate \sqrt[3]{-343} and get -7.

$$36-\left(-7\right)+\sqrt[4]{\left(-4\right)^{4}}$$

The opposite of -7 is 7.

$$36+7+\sqrt[4]{\left(-4\right)^{4}}$$

Add 36 and 7 to get 43.

$$43+\sqrt[4]{\left(-4\right)^{4}}$$

Calculate -4 to the power of 4 and get 256.

$$43+\sqrt[4]{256}$$

Calculate \sqrt[4]{256} and get 4.

$$43+4$$

Add 43 and 4 to get 47.

$$47$$

Factor

$$47$$