(4n^4)^2 Without Exponents

Jasonbradley

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Jun 16, 2024

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Expanding (4n^4)^2 without Exponents

The expression (4n^4)^2 involves exponents, but we can rewrite it without them by using the rules of exponents.

Here's how:

Understanding the Rules of Exponents

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

Applying the Rules to Our Expression

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

Therefore, (4n^4)^2 expanded without exponents is 16n^8.