The given expression is:
[tex]\left(\frac{2}{9}\right)^{\frac{1}{5}}[/tex]
It is required to use the power of a quotient property to write an expression that equals the given expression.
The power of a quotient property states that for any real numbers x and y, and any rational number a, it follows that:
[tex]\left(\frac{x}{y}\right)^a=\frac{x^a}{y^a}[/tex]
Apply the power of a quotient property to the given expression:
[tex]\left(\frac{2}{9}\right)^{\frac{1}{5}}=\frac{2^{\frac{1}{5}}}{9^{\frac{1}{5}}}[/tex]
The third choice is the correct answer.
