The problem asks to simplify the expression $394^5 \cdot 394^8$ and express the answer as a single term using exponents.

1. Problem Description

The problem asks to simplify the expression $394^5 \cdot 394^8$ and express the answer as a single term using exponents.

2. Solution Steps

To simplify the given expression, we can use the product of powers rule, which states that when multiplying exponential expressions with the same base, we add the exponents. The formula is:

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

In this case, the base is 394, and the exponents are 5 and

8. Applying the rule, we have:

$394^5 \cdot 394^8 = 394^{5+8}$

$394^5 \cdot 394^8 = 394^{13}$

3. Final Answer

The simplified expression is $394^{13}$.