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Verified answer
{ ( 2p²)³ • q-² / (pq)-⁴ • 2 } ²= { ( 8p^6q-² ) / ( 2p-⁴q-⁴ ) } ²
= 64 p^¹² q-⁴
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4 p^-8 q^-8
= 64 p^¹² p^8 q^8
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4 q⁴
= 16 p^20 q⁴