Answer:
We have to match each exponents expressions with its rule.
Given the exponent expressions:
1.
\(A^m \cdot A^n\)
⇒\(A^{m+n}\)
2.
\((AB)^m\)
⇒\(A^m \cdot B^m\)
3.
\((A^m)^n\)
⇒\(A^{mn}\)
4.
\(a^0\)
⇒\(1\)
5.
\(A^{-n}\)
⇒\(= \frac{1}{A^n}\)
Therefore,
Matching of the given expression with its rule are as follow.
1. \(A^m \cdot A^n\) → E
2. \((AB)^m\) → A
3. \((A^m)(A^n)\) → C
4. \(a^0\) → B
5. \(A^{-n}\) → D
