Question

Evaluate 641000‾‾‾‾√3 .

1125

32500

8100

410
brainless first to answer (correctly)

Answer 1

Answer:

D. $\frac{4}{10}$

Step-by-step explanation:

We have been given an expression $\sqrt[3]{\frac{64}{1000}}$. We are asked to evaluate our given expression.

Upon rewriting 64 and 1000 as cubes we will get:

$64=4^3$

$1000=10^3$

Upon substituting these values in our given expression, we will get,

$\sqrt[3]{\frac{4^3}{10^3}}$

$\sqrt[3]{(\frac{4}{10})^3}$

Using property$\sqrt[n]{a^m}=a^{\frac{m}{n}$ we will get,

$(\frac{4}{10})^{\frac{3}{3}$

$(\frac{4}{10})^1$

$\frac{4}{10}$

Therefore, option D is the correct choice.