(4n^4)^2

Jasonbradley

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Jun 16, 2024

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Simplifying (4n^4)^2

In mathematics, simplifying expressions is a key skill. Let's break down how to simplify the expression (4n^4)^2.

Understanding the Rules

To simplify this expression, we need to apply the following rules of exponents:

• Power of a product: (ab)^n = a^n * b^n
• Power of a power: (a^m)^n = a^(m*n)

Step-by-Step Simplification

1. Apply the power of a product rule: (4n^4)^2 = 4^2 * (n^4)^2

2. Apply the power of a power rule: 4^2 * (n^4)^2 = 16 * n^(4*2)

3. Simplify: 16 * n^(4*2) = 16n^8

Conclusion

Therefore, the simplified form of (4n^4)^2 is 16n^8. This demonstrates how applying basic exponent rules can significantly simplify complex expressions.