Respuesta :

The value of the expression (4x^6) * 3y^5/6x^3y^3 is 2x^3y^2

How to evaluate the expression?

The expression is given as

(4x^6) * 3y^5/6x^3y^3

Divide 3 and 6 by 3

So, we have

(4x^6) * 3y^5/6x^3y^3 = (4x^6) * y^5/2x^3y^3

Apply the law of indices to the exponents

(4x^6) * 3y^5/6x^3y^3 = (4x^6) * y^2/2x^3

Remove the bracket

(4x^6) * 3y^5/6x^3y^3 = 4x^6 * y^2/2x^3

Divide 4 and 2 by 2

So, we have

(4x^6) * 3y^5/6x^3y^3 = 2x^6 * y^2/x^3

Apply the law of indices to the exponents

(4x^6) * 3y^5/6x^3y^3 = 2x^3y^2

Hence, the value of the expression (4x^6) * 3y^5/6x^3y^3 is 2x^3y^2

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