Product of Powers Rule
Answer:
[tex]A^8[/tex]
Step-by-step explanation:
Recall the Exponent Law:
[tex]a^m \cdot a^n = a^{m +n}[/tex]
This means that if you multiply numbers with exponents and they have the same bases such as, [tex]a[/tex], the result is the number raised to the sum of exponents.
Solution:
Note: All numbers implicitly have [tex]1[/tex] as their exponent. For example, [tex]8[/tex] is equivalent to [tex]8^1[/tex].
[tex]A \cdot A^7 \\ A^{1 +7} \\ A^8[/tex]
