Simplify x(x^(1/2))

Problem

x(x(1/2))

Solution

1. Identify the expression as a product of two powers with the same base, x

2. Rewrite the first term x with its implicit exponent of 1

x1⋅x(1/2)

3. Apply the product rule for exponents, which states that xa⋅xb=x(a+b)

x(1+1/2)

4. Add the exponents by finding a common denominator.

x(2/2+1/2)

5. Simplify the resulting exponent.

x(3/2)

Final Answer

x(x(1/2))=x(3/2)

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