%5E3.jpeg "(5x^3y^2)^3")
Simplifying (5x^3y^2)^3
This expression involves raising a monomial to a power. To simplify it, we use the following rule of exponents:
(a^m)^n = a^(m*n)
Let's break down the simplification step-by-step:
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Distribute the exponent: (5x^3y^2)^3 = 5^3 * (x^3)^3 * (y^2)^3
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Apply the exponent rule: 5^3 * (x^3)^3 * (y^2)^3 = 125 * x^(33) * y^(23)
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Simplify: 125 * x^(33) * y^(23) = 125x^9y^6
Therefore, the simplified form of (5x^3y^2)^3 is 125x^9y^6.