Simplify x(x^2+1)^(-1/2)

Problem

x*(x^2+1)^(−1/2)

Solution

1. Identify the negative exponent property, which states that a^(−n)=1/(a^n)

2. Rewrite the term (x^2+1)^(−1/2) as a fraction by moving it to the denominator.

3. Apply the definition of fractional exponents, where a^(1/2)=√(,a) to express the denominator as a square root.

4. Combine the terms into a single algebraic fraction.

Final Answer

x*(x^2+1)^(−1/2)=x/√(,x^2+1)

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