Question

simplify the expression and assume that all variables are positive

(k^1/2)^-7/(k^10)^1/4

Answer 1

Do you know how to simplify the numerator and denominator separately?
(power-to-a-power, multiply exponents)

Answer 2

the closest answer I have is 1/k^7 not sure what I am getting wrong

Answer 3

That's close; might be a subtraction error.

Answer 4

Are you getting
\[\frac{k^{-7/2}}{k^{5/2}}?\]

Answer 5

(k^(-7/2))/k^(5/2) = k^(-7/2-5/2) = k^(-6)

Answer 6

= 1/k^6