azygula2009
Answered

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Can someone help me simplify 4(3x^2y^4)3 / (2x^3y^5) ^4??? Actually answer, give explanation. How did you arrive to the answer??

Sagot :

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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