If a, b, and c are positive integers such that a^b = x and c^b = y, then xy = ? | MathCelebrity Forum

If a, b, and c are positive integers such that a^b = x and c^b = y, then xy = ?

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If a, b, and c are positive integers such that a^b = x and c^b = y, then xy = ?

A) ac^b
B) ac^2b
C) (ac)^b
D) (ac)^2b
E) (ac)^b^2

xy = a^b * c^b

We can use the Power of a Product Rule
a^b * c^b = (ac)^b

Therefore:
xy = (ac)^b - Answer C
 
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