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

This expression, (b^2)^4, might look intimidating at first, but it's actually quite simple to understand without relying on exponents. Let's break it down:

### What does (b^2) mean?

**b^2**means**b multiplied by itself**: b * b

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

**(b^2)^4**means**(b^2) multiplied by itself four times**: (b^2) * (b^2) * (b^2) * (b^2)

### Expanding the expression

Now let's replace each (b^2) with its expanded form (b * b):

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

### The final result

Counting the total number of 'b's being multiplied together, we get:

**b * b * b * b * b * b * b * b**

This can be written more concisely as **b⁸**.

### Conclusion

Therefore, (b^2)^4 is equivalent to b multiplied by itself eight times, or **b⁸**. This demonstrates that even complex expressions involving exponents can be understood through basic multiplication.