Answer: B
k^-4= 1 / k^4
Explanation:
The expression is
k^3{k^7/5}^-5
To simplify the expression, we take the following steps.
Recall the following laws of indices
a^x + a ^y = a ^ (x+y) - - - - - - - - - -1
(a^x)^y = a^(x×y) = a^ xy - - - - - - - 2
a ^-x = 1 / a^ x - - - - - - - - - - - - - - - 3
Applying these laws of indices, we have
k^3{k^7/5}^-5
(applying law 2), we have
= k^3{k^7/5× -5}
= {k^3{k^7×-1} = {k^3{k^-7}
(applying law 1 )
k^3(k^-7) = k^ (3+ -7) = k ^3-7 = k^-4
Applying law 3,
k^-4= 1 / k^4