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Describe how to transform the quantity of the third root of x to the fourth power, to the fifth powerinto an expression with a rational exponent. Make sure you respond with complete sentences. I really don't understand how to do this problem.

Respuesta :

apologiabiology
remember

[tex] x^{\frac{m}{n}}= \sqrt[n]{x^{m}} [/tex] and
[tex](x^{m})^{n}=x^{mn}[/tex] so
[tex]( \sqrt[3]{x^{4}})^{5} [/tex]=[tex]( x^{\frac{3}{4}})^{5}[/tex]=[tex] x^{(\frac{3}{4})(5)} =x^{\frac{15}{4}}[/tex]


answer is [tex] x^{\frac{15}{4}} [/tex]

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