Simplify the expression x^a⋅x^b which represents a savings account that grows exponentially, where a represents the growth in the first period and b represents the growth in the second period.

When multiplying powers with the same base, keep the base and add the exponents: x^a · x^b = x^(a+b). This represents combining the growth across the two periods, so the matching choice is x^(a+b), choice A.

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