Final answer:
The expression (3^4 · 7^1)^6 simplifies to 3^24 × 7^6 by raising each base to the sixth power and then multiplying the results.
Step-by-step explanation:
When dealing with the expression (34 · 71)6, it is important to realize that we are raising a product of two different bases to a power. According to the rules of exponents, we can simplify this by raising each base to the sixth power separately and then multiplying the results. First, we solve 34 raised to the 6th power which becomes 324. Then, we solve 71 raised to the 6th power which becomes 76. Finally, we multiply these two results together to obtain the equivalent expression, which is 324 × 76.