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Which expression is equivalent to (4p^-4q)^-2/10pq^-3? Assume p and q do not equal 0. A. 25p^10/4q^...
5 months ago
Q:
Which expression is equivalent to (4p^-4q)^-2/10pq^-3? Assume p and q do not equal 0. A. 25p^10/4q^8 B. 2q/5p^5 C. p^7q/160 D. 125p^11q/2
Accepted Solution
A:
The equivalent expression to
(4p^-4q)^-2/10pq^-3
=(4^-2p^(-4*-2)q^-2)/(10pq^-3)
=(4^-2p^8q^-2)/(10pq^-3)
=[p^8q^-2/16]/[10pq^-3]
=p^7q/160
Answer: C]p^7q/160