# Which is the simplified form of the expression ((p squared) (q Superscript 5 Baseline)) Superscript

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? StartFraction 1 Over q Superscript 30 Baseline EndFraction
q Superscript 30
StartFraction p Superscript 12 Baseline Over q Superscript 60 Baseline EndFraction
p Superscript 12 Baseline q Superscript 60

anessia83

1/q^30 or A

Step-by-step explanation:

🙂

Bvrz6198

1/q^30 (startfraction 1 over q subscript 30 baseline end fraction)

Step-by-step explanation:

just took quiz

ksanchez2100

$q^{-30}$

Step-by-step 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:

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

Haneendye123

The correct answer is 1/q^30 Or A

Step-by-step explanation:

I just took the quiz