Respuesta :
The given expression is
[tex] (p^{9} )^-2 [/tex]
Here the Indices are 9 and -2 .The power rule for indices state:
[tex] (a^{m} )^n=a^{mn} [/tex]
The Powers are multiplied.
Applying the Power rule we have:
[tex] (p^{9})^{-2} =p^{-18} [/tex]We now apply the negative index rule which states:
[tex] a^{-n} =\frac{1}{a^{n}} [/tex]
Applying the rule we have:
[tex] p^{-18} =\frac{1}{p^{18}} [/tex]
