**Simplify.**
*Rewrite the expression in the form \[y^n\].*

\[\dfrac{y^{5}}{y^3}=\]

To simplify the expression \(\frac{y^5}{y^3}\), you can use the quotient rule of exponents, which states:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

Applying this to your expression:

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

So, the simplified expression is:

\[
y^2
\]

Would you like further details on this topic or have any questions?

Here are 5 related questions:
1. How would you simplify \(\frac{y^7}{y^4}\)?
2. What is the value of \(\frac{x^5}{x^2}\) when \(x = 2\)?
3. How do you simplify \(\frac{y^6}{y^6}\)?
4. Can you apply the quotient rule to simplify \(\frac{2y^5}{4y^3}\)?
5. What is the general rule for dividing powers with the same base?

**Tip:** Always subtract the exponent in the denominator from the exponent in the numerator when simplifying expressions of the same base.

Learn how to simplify the expression \( \frac{y^5}{y^3} \) using the quotient rule of exponents. Understand the fundamental concept of exponents and how to apply the quotient rule to simplify similar expressions. Suitable for students in Grades 6-8.

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