(2x^3y)^6 Simplify

Jasonbradley

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Jun 16, 2024

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Simplifying (2x^3y)^6

This problem involves applying the rules of exponents to simplify the given expression.

Here's how to simplify (2x^3y)^6:

Understanding the Rules

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

Applying the Rules

1. Distribute the exponent: (2x^3y)^6 = 2^6 * (x^3)^6 * y^6
2. Simplify the exponents: 2^6 * (x^3)^6 * y^6 = 64 * x^(3*6) * y^6
3. Final result: 64 * x^(3*6) * y^6 = 64x^18y^6

Therefore, the simplified form of (2x^3y)^6 is 64x^18y^6.