Which of the following equals (x^2)/(x^3*x^n)?
Question
Which of the following equals (x^2)/(x^3*x^n)?
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Solution
The expression (x^2)/(x^3*x^n) simplifies as follows:
Step 1: Combine the exponents in the denominator. Remember that when you multiply terms with the same base, you add the exponents. So, x^3 * x^n becomes x^(3+n).
Step 2: Now the expression is (x^2)/(x^(3+n)).
Step 3: When you divide terms with the same base, you subtract the exponents. So, x^2 / x^(3+n) becomes x^(2-(3+n)).
Step 4: Simplify the exponent. 2 - (3 + n) becomes -1 - n.
So, the expression (x^2)/(x^3*x^n) simplifies to x^(-1-n) or 1/(x^(1+n)).
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