Question

What is the value of k when k^3 = 1 /125 ?

Answer 1

x=1/5

Explanation:

`k^3=1/125\\`

`(k^3)^(1)/(3) =((1)/(125) )^(1)/(3)`

`k^3^(1)/(3) =(1)/(125^(1)/(3))`

`k=(1)/(5)`

Hope this Helps :)

Answer 2

1/5

Explanation:

Finding the unknown value in exponent form:

Prime factorize 125.

125 = 5 * 5 * 5 = 5³

`\sf k^3 = (1)/(125)\\\\ k^3 = \left((1)/(5)\right)^3`

As exponents are same, compare the bases,

`\sf k = (1)/(5)`