Answer :

meerkat18
In converting the radical expression of a rational exponent of a rational number. First is to rewrite its form into fractional exponent and giving the answer of 2 to the power 7  over 3 and i hope this could add the knowledge of your learning, have a nice day.
TaeKwonDoIsDead

Answer:

[tex]2^{\frac{7}{3}}[/tex]


Step-by-step explanation:

The formula to change a radical to rational (fractional) exponent is given below:

[tex]\sqrt[n]{a^{m}} =a^{\frac{m}{n}}[/tex]

It means that the denominator of the fraction (in the rational exponent) goes OUTSIDE the root sign and the numerator goes as power to the number.


Using this, we can write [tex]\sqrt[3]{2^{7}}[/tex]  as  [tex]2^{\frac{7}{3}}[/tex]

Thus the rational exponent from is given by  [tex]2^{\frac{7}{3}}[/tex]

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