Question

Can I get any tutors to help me with this question?

Answer 1

The given expression is:

`\left((2)/(9)\right)^{(1)/(5)}`

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:

`\left((x)/(y)\right)^a=(x^a)/(y^a)`

Apply the power of a quotient property to the given expression:

`\left((2)/(9)\right)^{(1)/(5)}=\frac{2^{(1)/(5)}}{9^{(1)/(5)}}`

The third choice is the correct answer.