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Use the Laws of Exponents to rewrite and simplify the expression: 1 / (3(\sqrt {x^4}) .

Question:

Use the Laws of Exponents to rewrite and simplify the expression:

{eq}1 / (3\sqrt {x^4}) {/eq}.

Exponentiation:

The basic notion of exponentiation is given by a repeated multiplication. This happens when the exponent is a positive integer. However, the exponentiation can be extended to rational numbers. Related to this domain for the exponent we have the basic rules of exponentiation which help to simplify algebraic expression.

Answer and Explanation: 1

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We will use the following basic rules of exponentiation:

  • (1) {eq}\, a^{m/n} = \sqrt[n] {a^m},\; m,n\in\mathbb Z {/eq}
  • (2) {eq}\, a^{-n} =...

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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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