Simplify Problem: Solve x^3/2(x+x5/2-x2)

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To simplify the expression x^(3/2)(x + x^(5/2) - x^2), one should begin by carrying out the multiplication of the terms. Applying the rules of exponents is crucial, particularly the properties that allow for combining like bases. The simplification process involves multiplying each term inside the parentheses by x^(3/2) and then combining the results. Memorizing the exponent rules, such as x^(a)b = (x^a)b = (x^b)a and x^a * x^b = x^(a+b), is essential for this task. Ultimately, the goal is to express the result in its simplest form.
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Homework Statement



x^3/2(x+x5/2-x2)

Homework Equations



I don't know how to simplify this problem.

I don't know any process either.

The Attempt at a Solution

 
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Maybe all you need to do is carry out the multiplication. Since you haven't supplied the exact problem statement, it's hard to know exactly what is called for here.
 
Mark44 said:
Maybe all you need to do is carry out the multiplication. Since you haven't supplied the exact problem statement, it's hard to know exactly what is called for here.
The title of the topic is, "simplify problem". As just said, "carry out the multiplication." and then apply rules of exponents. The result should be in simplified form.
 
You need to memorize the rules: xab=(xa)b=(xb)a and xaxb=xa+b. You will need the latter to do this problem. So follow the other's advice and multiply everything out, and then simplify.
 
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