## Understanding (b^4)^2 Without Exponents

The expression (b^4)^2 might seem intimidating at first, but it's actually quite straightforward to understand without using exponents. Let's break it down step by step:

**What does (b^4)^2 mean?**

**b^4:**This part means "b multiplied by itself four times": b * b * b * b.**(b^4)^2:**This means taking the result of b^4 (which is b * b * b * b) and multiplying it by itself: (b * b * b * b) * (b * b * b * b).

**Simplifying the Expression**

To write the expression without exponents, we simply expand it:

(b * b * b * b) * (b * b * b * b) = **b * b * b * b * b * b * b * b**

**The Final Result**

As you can see, the expression (b^4)^2 is equivalent to **b multiplied by itself eight times**.

**Key Takeaways**

**Exponents represent repeated multiplication:**b^n means "b multiplied by itself n times."**Nested exponents:**When you have an exponent raised to another exponent, it means you're multiplying the base by itself the product of the two exponents times. In our case, 4 * 2 = 8.**Understanding the concept:**It's important to understand the underlying concept of exponents rather than just memorizing rules. This allows you to apply the concept to more complex situations.