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Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
×
=
,
=
Given
xy = 32 , tat is
×
=
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
×
= 16
×
=
, then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6