Question

Evaluate.     −64125‾‾‾‾‾√3

Answer 1

-4/5 is correct, since (-4/5)³ = -4*-4*-4/(5*5*5) = -64/125 

Answer 2

The given expression is :
`\sqrt[3]{(-64)/(125)}`

64 can be written as 4x4x4=
`4^(3)`

125 =5x5x5=
`5^(3)`

The given expression can be written as :

`\sqrt[3]{(-64)/(125)} =\sqrt[3]{((-4)^(3))/(5^(3))} =[( (-4)/(5))^(3) }]^(1)/(3)`

Applying power rule of indices :

Powers are multiplied .

`(1)/(3) times 3 = 1.`

=
`(-4)/(5)`

The first option
`(-4)/(5)` is the right asnwer