Question

How do I simplify ((z^p)^7)/(z^7)^(p-1)?

Answer 1

help meeeeeeeee

Answer 2

\[\frac{(z^p)^7}{(z^7)^{p-1}}\]?

Answer 3

\[\frac{z^{7p}}{z^{7p-7}}=z^{7p-(7p-7)}=z^{7p-7p+7}=z^7\]

Answer 4

z^7

Answer 5

Note, \( z^{a+b} = z^az^b\) and \(1/z^{a} = z^{-a}\) and \(z^{an}=(z^{a} )^{n} \). Using just these 3 rules you can solve this mildly intimidating problem.