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

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

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

**a^4**means multiplying 'a' by itself four times: a * a * a * a.**(a^4)^2**means squaring the result of a^4, or multiplying it by itself: (a * a * a * a) * (a * a * a * a).

### Expanding the Expression

To get rid of the exponents, we can simply write out the multiplication:

**(a * a * a * a) * (a * a * a * a) = a * a * a * a * a * a * a * a**

### Simplifying the Result

We now have 'a' multiplied by itself eight times. This can be expressed as:

**a^8**

### Conclusion

Therefore, (a^4)^2 is equivalent to **a^8** without using exponents. This process demonstrates the fundamental principle of exponent rules: when raising a power to another power, you multiply the exponents.