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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.

Verified Answer :

remember

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


answer is \(x^{\frac{15}{4}}\)