Respuesta :
Answer:
[tex]q^{-30}[/tex]
Step-by-step explanation:
Given the expression:
[tex]((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}[/tex]
First, we open the outer brackets
[tex]=(p^{2X-4}) (q ^{5X-4})X (p ^{-4X-2}) (q^{5X-2})\\\\=(p^{-8}) (q ^{-20})X (p ^{8}) (q^{-10})\\\\$Next, we can collect like terms\\\\=p^{-8}Xp ^{8}Xq ^{-20}Xq ^{-10}\\\\$Applying addition law of indices\\\\=p^{-8+8}Xq^{-20+(-10)}\\\\=p^0 X q^{-30}\\\\=1 X q^{-30}\\\\=q^{-30}[/tex]
Therefore:
[tex]((p^2) (q ^5)) ^{-4} X ((p ^{-4}) (q^5)) ^{-2}=q^{-30[/tex]
Answer:
q^30 is not the answer i get it wrong idk what the answer is yet
Step-by-step explanation:
