https://file.aiquickdraw.com/mathbot/file/1725758473410vwlsk1va.jpg

I see that the image contains a math problem asking to simplify an expression using rational exponents and the quotient rule. Let's analyze the expression.

The expression shown is:

\[
\frac{1}{y^{\frac{5}{3}}}
\]

The task is to rewrite the expression using only positive exponents.

### Solution:
To write the expression with positive exponents, we can move the term with a negative exponent to the numerator:

\[
\frac{1}{y^{\frac{5}{3}}} = y^{-\frac{5}{3}}
\]

This is the simplified form with only positive exponents in the denominator. However, we have moved the exponent to the numerator by making it negative.

Let me know if you would like further clarifications or details! Here are five related questions:

1. How do you simplify an expression using the quotient rule with exponents?
2. What are the rules for negative exponents?
3. How do you simplify expressions with fractional exponents?
4. What is the difference between rational and integer exponents?
5. How do you convert between radical notation and exponent notation?

**Tip:** Always move negative exponents across the fraction to make them positive.

Simplify the expression 1/y^(5/3) using rational exponents and the quotient rule.

Learn how to simplify the expression 1/y^(5/3) using the quotient rule for exponents. This solution covers rational exponents, negative exponents, and proper techniques to rewrite expressions with positive exponents. Suitable for students in Grades 9-10.

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