# Algebra

Rewrite each expression with positive exponents and simplify.
X^2•x^n/x^3•x^n

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1. x^2 * x^n x^(2+n)
x^3 * x^n = x^(3+n)
now, after the division, subtracting powers, you have

x^((2+n)-(3+n)) = x^-1 = 1/x

You can see that this is so, because in the original fraction, you can cancel the x^n factors, leaving just

x^2/x^3 = 1/x

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