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Is there a method to transform

(a1 * a2) ** (b1 * b2)

into

(a1 ** b1) * (a2 ** b2)

I am trying to transform non-commutative products based on the number at the end of the variable in order to replace it with a NCReplace (from the NCAlgebra package) later.

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Thread[(a1*a2) ** (b1*b2), Times]

a1 ** b1 a2 ** b2

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