Question

Simplify. Rewrite the expression in the form a^n. A • A^7

Answer 1

Product of Powers Rule

Answer:

$A^8$

Step-by-step explanation:

Recall the Exponent Law:

$a^m \cdot a^n = a^{m +n}$

This means that if you multiply numbers with exponents and they have the same bases such as, $a$, the result is the number raised to the sum of exponents.

Solution:

Note: All numbers implicitly have $1$ as their exponent. For example, $8$ is equivalent to $8^1$.

$A \cdot A^7 \\ A^{1 +7} \\ A^8$