Respuesta :

[tex] \sqrt[3]{0.000064}= \sqrt[3]{ \frac{64}{1,000,000} }= \sqrt[3]{ \frac{4^3}{100^3} }= \sqrt[3]{ (\frac{4}{100})^3 }= \frac{4}{100}=0.04 [/tex]

Answer:

[tex]\sqrt[3]{\frac{64}{1000000}}[/tex] = 0.04

Step-by-step explanation:

Given : 0.000064.

To find : find all the real cube roots.

Solution : We have given that 0.000064.

Convert it in to fraction form

0.000064 = [tex]\frac{64}{1000000}[/tex].

Taking cube root

[tex]\sqrt[3]{\frac{64}{1000000}}[/tex]

We can write 64 as 4 *4 * 4

1000000 as 100 * 100 * 100

[tex]\sqrt[3]{\frac{4 * 4 *4}{100 * 100 * 100}}[/tex]

Then  [tex]\{\frac{4}{100}}[/tex] = 0.04

Therefore,  [tex]\sqrt[3]{\frac{64}{1000000}}[/tex] = 0.04