Question

PLEASE HELP!!!!!!!!!!!!!!!!! What is the simplified form of the expression k^3(k^7/5)^-5

A. k^4
B. 1/k^1/4
C. k^1/4
D. 1/k^4

Answer 1

(k^3)(k^(7/5))^-5
= (k^3)(k^(7/5*-5))
= (k^3)(k^-7)
= k^(-7+3)
= k^-4
= 1/k^4
Which is choice D.