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james1769

  • one year ago

Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences.

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  1. Michele_Laino
    • one year ago
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    please keep in mind that the radical: \[\sqrt[3]{{{x^4}}}\] can be rewritten as below: \[{x^{4/3}}\]

  2. Michele_Laino
    • one year ago
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    it is the definition of powers with rational exponent

  3. Michele_Laino
    • one year ago
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    now, if I apply the rule of power of power, we can write this: \[\huge{\left( {\sqrt[3]{{{x^4}}}} \right)^5} = {\left( {{x^{4/3}}} \right)^5} = {x^{5 \cdot \frac{4}{3}}} = {x^{\frac{{20}}{3}}}\]

  4. Michele_Laino
    • one year ago
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    \[\Large {\left( {\sqrt[3]{{{x^4}}}} \right)^5} = {\left( {{x^{4/3}}} \right)^5} = {x^{5 \cdot \frac{4}{3}}} = {x^{\frac{{20}}{3}}}\]

  5. james1769
    • one year ago
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    okay thnks

  6. Michele_Laino
    • one year ago
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    :)

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