Solve sqrt[5]{32}:(-2)^0+(-5+2,3)^2*sqrt[3]{8}-sqrt{100}:sqrt[3]{-125}=

$$\sqrt[ 5 ] { 32 } : ( - 2 ) ^ { 0 } + ( - 5 + 2,3 ) ^ { 2 } \cdot \sqrt[ 3 ] { 8 } - \sqrt { 100 } : \sqrt[ 3 ] { - 125 } =$$

Evaluate

$$18,58$$

Solution Steps

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

$$\frac{2}{\left(-2\right)^{0}}+\left(-5+2,3\right)^{2}\sqrt[3]{8}-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Calculate -2 to the power of 0 and get 1.

$$\frac{2}{1}+\left(-5+2,3\right)^{2}\sqrt[3]{8}-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Anything divided by one gives itself.

$$2+\left(-5+2,3\right)^{2}\sqrt[3]{8}-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Add -5 and 2,3 to get -2,7.

$$2+\left(-2,7\right)^{2}\sqrt[3]{8}-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Calculate -2,7 to the power of 2 and get 7,29.

$$2+7,29\sqrt[3]{8}-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

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

$$2+7,29\times 2-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Multiply 7,29 and 2 to get 14,58.

$$2+14,58-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Add 2 and 14,58 to get 16,58.

$$16,58-\frac{\sqrt{100}}{\sqrt[3]{-125}}$$

Calculate the square root of 100 and get 10.

$$16,58-\frac{10}{\sqrt[3]{-125}}$$

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

$$16,58-\frac{10}{-5}$$

Divide 10 by -5 to get -2.

$$16,58-\left(-2\right)$$

The opposite of -2 is 2.

$$16,58+2$$

Add 16,58 and 2 to get 18,58.

$$18,58$$

Factor

$$\frac{929}{2 \cdot 5 ^ {2}} = 18\frac{29}{50} = 18.58$$