This math topic focuses on manipulating and simplifying expressions involving the difference or sum of exponential terms with similar bases, divided by one of the terms. It tests students' understanding of exponent rules within the context of polynomial algebra. The problems involve exponent operations on large integer powers, requiring simplifications reminiscent of polynomial long division, but specific to exponential terms. This advanced exercise is part of a broader unit on polynomials and quadratics.

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Polynomial Algebra - Difference of Exponents (Integers) Divided by Similar Exponent - Solve

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What does this expression simplify to?

72008+7200672006\frac{7^{2008} + 7^{2006}}{7^{2006}}

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