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Simplify x^(3/2) (sqrt(x) - (1/sqrt(x)))

Question:

Simplify {eq}x^{\frac{3}{2}}\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right ) {/eq}

Simplifying Expressions with Exponents and Radicals:

In mathematics, exponents and radicals are closely related. This is because we can write radical expressions as exponential expressions using a number of different rules. This relationship can be used to simplify expressions containing exponents and radicals in a number of ways.

Answer and Explanation:

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Simplifying {eq}x^{\frac{3}{2}}\left ( \sqrt{x}-\frac{1}{\sqrt{x}} \right ) {/eq} gives x2 - x.

To simplify this expression, we will make use of the...

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Rational Exponents

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Chapter 6 / Lesson 4
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Learn about rational exponents. Study the definition of rational exponents, learn how to solve them, and work through examples of rational exponent equations.


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