Simplify  $5\sqrt[3]{108}\div\sqrt[3]{-50}$53√108÷3√−50​ .The simplified expression is .

The question seems to be a bit jumbled, but I'll try to simplify the expression as best as I can.

First, let's simplify $5\sqrt[3]{108}\div\sqrt[3]{-50}$.

Step 1: Break down the numbers inside the cube roots into their prime factors.

$108 = 2^2 * 3^3$ and $-50 = -2 * 5^2$

Step 2: Simplify the cube roots.

$\sqrt[3]{108} = 3\sqrt[3]{4}$ and $\sqrt[3]{-50} = -\sqrt[3]{50}$

Step 3: Substitute the simplified cube roots back into the original expression.

$5\sqrt[3]{108}\div\sqrt[3]{-50} = 5*3\sqrt[3]{4}\div-\sqrt[3]{50}$

Step 4: Simplify the expression.

$= 15\sqrt[3]{4}\div-\sqrt[3]{50}$

$= -15\sqrt[3]{\frac{4}{50}}$

$= -15\sqrt[3]{0.08}$

So, the simplified expression is $-15\sqrt[3]{0.08}$.