%5E3-simplify.jpeg "(2x^2y^3)^3 Simplify")
Simplifying (2x^2y^3)^3
This problem involves simplifying an expression with exponents. Here's how we can do it:
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
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Distribute the outer exponent: (2x^2y^3)^3 = 2^3 * (x^2)^3 * (y^3)^3
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Simplify each term: 2^3 = 8 (x^2)^3 = x^(23) = x^6 (y^3)^3 = y^(33) = y^9
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Combine the terms: 8 * x^6 * y^9 = 8x^6y^9
Conclusion
Therefore, the simplified form of (2x^2y^3)^3 is 8x^6y^9.