Solve -5^2-left(3-2^3right)sqrt[3]{-125}+sqrt[3]{sqrt{4}sqrt[3]{64}}

$${ -5 }^{ 2 } - \left( 3- { 2 }^{ 3 } \right) \sqrt[ 3 ]{ -125 } + \sqrt[ 3 ]{ \sqrt{ 4 } \sqrt[ 3 ]{ 64 } }$$

Evaluate

$$2$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$25-\left(3-2^{3}\right)\sqrt[3]{-125}+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Calculate 2 to the power of 3 and get 8.

$$25-\left(3-8\right)\sqrt[3]{-125}+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Subtract 8 from 3 to get -5.

$$25-\left(-5\sqrt[3]{-125}\right)+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Calculate \sqrt[3]{-125} and get -5.

$$25-\left(-5\left(-5\right)\right)+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Multiply -5 and -5 to get 25.

$$25-25+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Subtract 25 from 25 to get 0.

$$0+\sqrt[3]{\sqrt{4}\sqrt[3]{64}}$$

Calculate the square root of 4 and get 2.

$$0+\sqrt[3]{2\sqrt[3]{64}}$$

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

$$0+\sqrt[3]{2\times 4}$$

Multiply 2 and 4 to get 8.

$$0+\sqrt[3]{8}$$

Calculate \sqrt[3]{8} and get 2.

$$0+2$$

Add 0 and 2 to get 2.

$$2$$

Factor

$$2$$