Answer:
\(2^{\frac{7}{3}}\)
Step-by-step explanation:
The formula to change a radical to rational (fractional) exponent is given below:
\(\sqrt[n]{a^{m}} =a^{\frac{m}{n}}\)
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 \(\sqrt[3]{2^{7}}\) as \(2^{\frac{7}{3}}\)
Thus the rational exponent from is given by \(2^{\frac{7}{3}}\)
