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how can exponent can make it easier to write an expression with a repeated factor in the product
You cannot write an algebraic expression for that, you need an equation. The equation is n - 6 = 4
You could write "divided by" between the expression for the numerator and the expression for the denominator.
When you have an algebraic expression, the term is "reducing" the expression when you write the expression in fewer terms or smaller multiples.