Pergunta

2. Divide 8xy^2-9x^2y+6x^2y^2 by x^2 using the quotient of powers property.
Solução

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PauloEspecialista · Tutor por 3 anos
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To divide the expression $8xy^{2}-9x^{2}y+6x^{2}y^{2}$ by $x^{2}$ using the quotient of powers property, we need to apply the rule that states $\frac{a^m}{a^n} = a^{m-n}$.<br /><br />Let's divide each term in the expression by $x^{2}$:<br /><br />1. $\frac{8xy^{2}}{x^{2}} = 8y^{2}$<br />2. $\frac{-9x^{2}y}{x^{2}} = -9y$<br />3. $\frac{6x^{2}y^{2}}{x^{2}} = 6y^{2}$<br /><br />So, the expression $8xy^{2}-9x^{2}y+6x^{2}y^{2}$ divided by $x^{2}$ is $8y^{2} - 9y + 6y^{2}$.
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