To simplify the expression \( y^{-4} \cdot y^{3} \), you apply the rule of exponents:

\[
a^m \cdot a^n = a^{m+n}
\]

Here, you add the exponents \(-4\) and \(3\):

\[
y^{-4} \cdot y^{3} = y^{-4 + 3} = y^{-1}
\]

Thus, the simplified expression is:

\[
y^{-1}
\]

This can also be written as:

\[
\frac{1}{y}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify \( y^5 \cdot y^{-2} \)?
2. What is \( \frac{y^3}{y^5} \)?
3. How do you express \( y^{-2} \) as a fraction?
4. How do you solve \( y^{-1} = 4 \) for \( y \)?
5. What happens if you multiply \( y^{-1} \cdot y^{0} \)?

**Tip:** Remember that any number raised to the power of 0 is equal to 1: \( a^0 = 1 \).

Learn how to simplify expressions with exponents, such as y^{-4} \cdot y^{3}, by applying the exponent addition rule. This step-by-step explanation is ideal for students in Grades 7-8, covering key algebraic concepts related to exponents.

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