https://file.aiquickdraw.com/mathbot/file/1727364857835tmunysvf.jpg

Let's simplify the expression provided in the image:

\[
\frac{y^2}{y^{-3}}
\]

### Step-by-step Solution:
1. Apply the law of exponents: When dividing powers with the same base, subtract the exponents.

\[
\frac{y^2}{y^{-3}} = y^{2 - (-3)} = y^{2 + 3} = y^5
\]

Thus, the simplified expression is:

\[
y^5
\]

Would you like any further explanation or have any questions on this?

Here are some related questions you might explore:
1. How do you simplify \( \frac{x^3}{x^{-2}} \)?
2. What is the result of \( \frac{y^{-2}}{y^3} \)?
3. How do the rules of exponents apply when multiplying powers?
4. What happens when you raise a power to another power, e.g., \( (y^2)^3 \)?
5. How do negative exponents relate to fractions?

**Tip**: Always remember that a negative exponent means you take the reciprocal of the base. For example, \( y^{-3} = \frac{1}{y^3} \).

Learn how to simplify the exponential expression \( \frac{y^2}{y^{-3}} \) using the laws of exponents. This problem explores key algebraic concepts such as exponent rules and simplification techniques. Ideal for students in Grades 8-10.

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