The choices are (4)/(25) - (2)/(5) - (4)/(25) (2)/(5) ​

Question

The choices are


`(4)/(25)`

`- (2)/(5)`

`- (4)/(25)`

`(2)/(5)`
​

Answer 1

option b) -2/5

Explanation:

Using the rule :

`\sqrt[3]{a^3} = (a^3)^{(1)/(3)} = a`

`\sqrt[n]{-x} = - \sqrt[n]{x} , if \ n \ is \ odd`

`\sqrt[3]{-(8)/(125)} = \sqrt[3]{-(2 * 2 * 2)/(5 * 5 * 5)} = -(2)/(5)`

Answer 2

`\sqrt[3]{-(8)/(125) }`

• 
  `-\sqrt[3]{2^3} /\sqrt[3]{5^3}`

• 
  `-2/\sqrt[3]{5^3}`

• 
  `-(2)/(5)`

So, your answer is B) - 2/5

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