Which expressions are equivalent to (k^(1/8))^(−1) ? choose all answers that apply: a. (k^(-1))^(1/8) b. (8_/`k)^(-1) c. k^(-1/8) d. none of the above * _/` is a radical with 8 as the index and k as the radicand

The first option is correct: we have

The second option is also correct, because it simply applies the definition

The third option is also correct, because it applies the rule

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: