Solve sqrt[3]{(-4)^3}+sqrt[5]{(-2)^5}+sqrt{4^27}

$$\sqrt[ 3 ] { ( - 4 ) ^ { 3 } } + \sqrt[ 5 ] { ( - 2 ) ^ { 5 } } + \sqrt { 4 ^ { 27 } }$$

Evaluate

$$134217722$$

Solution Steps

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

$$\sqrt[3]{-64}+\sqrt[5]{\left(-2\right)^{5}}+\sqrt{4^{27}}$$

Calculate \sqrt[3]{-64} and get -4.

$$-4+\sqrt[5]{\left(-2\right)^{5}}+\sqrt{4^{27}}$$

Calculate -2 to the power of 5 and get -32.

$$-4+\sqrt[5]{-32}+\sqrt{4^{27}}$$

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

$$-4-2+\sqrt{4^{27}}$$

Subtract 2 from -4 to get -6.

$$-6+\sqrt{4^{27}}$$

Calculate 4 to the power of 27 and get 18014398509481984.

$$-6+\sqrt{18014398509481984}$$

Calculate the square root of 18014398509481984 and get 134217728.

$$-6+134217728$$

Add -6 and 134217728 to get 134217722.

$$134217722$$

Factor

$$2\times 37\times 349\times 5197$$