Answer:
See below
Step-by-step explanation:
Integer exponents are a subset of rational exponents
Integer exponents
An integer exponent is an exponent that is an integer. For example, in the expression y = 5³, the 3 is an integer exponent.
An integer exponent is a power. Thus, 5³ = 5× 5× 5.
Rational exponents
Rational exponents can be expressed as a ratio of integers with nonzero denominators.
Thus, in the expression [tex]y = 5^{\frac{ 2}{3 }}[/tex], the fraction ⅔ is a rational exponent.
A rational exponent is both a power and an nth root. The numerator is the power, and the denominator is the root. Thus,
[tex]5^{\frac{ 2}{ 3}} = \sqrt[3]{5^{2}} = (\sqrt[3]{5}})^{2}[/tex]
