This math topic focuses on simplifying algebraic expressions with polynomials involving variables exponentiated to high powers, then divided by an expression with a similar base but lesser exponent. Each problem presents an expression for simplification, paired with multiple-choice answers. The expressions typically involve subtracting or adding different powers of a variable, then dividing by one of the powers, challenging the student to simplify them to a simpler form using properties of exponents and basic algebraic skills. This set of problems is an advanced application of polynomial operations and exponent rules.

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Polynomial Algebra - Difference of Exponents (Variables) Divided by Second Exponent - Simplify

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What does this expression simplify to?

r2021r2020r2020\frac{r^{2021} - r^{2020}}{r^{2020}}

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