Question

³√128:³√2000=???????

Answer 1

³√128 = ³√(2^7) = ³√2*2^6) = 2^2*(³√2).

³√2000 = ³√(2*1000) = ³√(2*10^3) = 10*(³√2) = 2*5*(³√2).

Теперь разделим одно число на другое.

2^2*(³√2) / (2*5*(³√2)) = 2/5.

Ответ: 2/5.

Answer 2

To solve this expression, you're looking to find the value of the cube root of 128 divided by the cube root of 2000:

$\sqrt[3]{128} : \sqrt[3]{2000}$

Let's calculate each cube root separately:

$\sqrt[3]{128} = 4$ $\sqrt[3]{2000} \approx 12.589$

Now divide the cube root of 128 by the cube root of 2000:

$\frac{4}{12.589} \approx 0.317$

So, $\sqrt[3]{128} : \sqrt[3]{2000} \approx 0.317$.