The simplified form of the given expression, 4(3x^2y^4)3 / (2x^3y^5) ^4, is 27/x⁶y⁸
Simplifying an expression
From the question, we are to simplify the given expression
From the given information,
The expression is
4(3x^2y^4)3 / (2x^3y^5) ^4
First, we will write the given expression properly
The given expression written properly is
4(3x²y⁴)³ / (2x³y⁵)⁴
Simplifying the expression
4(3x²y⁴)³ / (2x³y⁵)⁴
4 × (3x²y⁴)³ / (2x³y⁵)⁴
4 × (3)³(x²)³(y⁴)³ / (2)⁴(x³)⁴(y⁵)⁴
4 × (3)³ × (x²)³ × (y⁴)³ / (2)⁴ × (x³)⁴ × (y⁵)⁴
4 × 27 × x⁶ × y¹² / 16 × x¹² × y²⁰
108 × x⁶ × y¹² / 16 × x¹² × y²⁰
This can be further expressed as
108/16 × x⁶/x¹² × y¹²/y²⁰
27/4 × 1/x⁶ × 1/y⁸
= 27/x⁶y⁸
Hence, the simplified expression is 27/x⁶y⁸
Learn more on Simplifying an expression here: https://brainly.com/question/723406
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