(3a^2)^3 Answer

Jasonbradley

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Jun 16, 2024

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Simplifying (3a^2)^3

This expression involves simplifying a power of a product. Let's break it down step by step:

Understanding the Power of a Product Rule

The power of a product rule states that (ab)^n = a^n * b^n. This means we can distribute the exponent outside the parentheses to each factor inside.

Applying the Rule to (3a^2)^3

1. Distribute the exponent: (3a^2)^3 = 3^3 * (a^2)^3

2. Simplify the exponents: 3^3 = 27 and (a^2)^3 = a^(2*3) = a^6

3. Combine the results: 27 * a^6 = 27a^6

Therefore, the simplified form of (3a^2)^3 is 27a^6.