Question

Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript negative 4 Baseline times ((p Superscript negative 4 Baseline) (q Superscript 5 Baseline)) Superscript negative 2? HURRY PLEASE ANSWER THIS!!!

Answer 1

q^30 is not the answer i get it wrong idk what the answer is yet

Explanation:

Answer 2

`q^(-30)`

Explanation:

Given the expression:

`((p^2) (q ^5)) ^(-4) X ((p ^(-4)) (q^5)) ^(-2)`

First, we open the outer brackets

`=(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)`

Therefore:

`((p^2) (q ^5)) ^(-4) X ((p ^(-4)) (q^5)) ^(-2)=q^{-30`