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Algebra/Exponets

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Expert: - 11/11/2010


Question
Evaluate x^2*x^n/x^3*x^-n

Answer
It is known that 1/x^a is the same as x^-a and
(x^a)(x^b) = x^(a+b).

Using these and assuming the problem is
(x^2)(x^n)/[(x^3)(x^-n)], add the numerator exponets and subtract the denominator exponets.

This makes the problem into x^(2+n-3--n) = x^(2-3+n+n) = x^(-1+2n).

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Scott A Wilson

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