which expression is equivalent to $\frac{60x^{20}y^{24}}{30x^{10}y^{12}}$?\n$2x^{2}y^{2}$\n$2x^{10}y^{12}$\n$…

which expression is equivalent to $\frac{60x^{20}y^{24}}{30x^{10}y^{12}}$?\n$2x^{2}y^{2}$\n$2x^{10}y^{12}$\n$30x^{2}y^{2}$\n$30x^{10}y^{12}$

which expression is equivalent to $\frac{60x^{20}y^{24}}{30x^{10}y^{12}}$?\n$2x^{2}y^{2}$\n$2x^{10}y^{12}$\n$30x^{2}y^{2}$\n$30x^{10}y^{12}$

Answer

Explanation:

Step1: Divide the coefficients

Divide 60 by 30: $\frac{60}{30}=2$

Step2: Use exponent - division rule for $x$ terms

According to the rule $\frac{x^m}{x^n}=x^{m - n}$, for $x^{20}$ divided by $x^{10}$, we have $x^{20-10}=x^{10}$

Step3: Use exponent - division rule for $y$ terms

For $y^{24}$ divided by $y^{12}$, using $\frac{y^m}{y^n}=y^{m - n}$, we get $y^{24 - 12}=y^{12}$

Step4: Combine the results

The equivalent expression is $2x^{10}y^{12}$

Answer:

B. $2x^{10}y^{12}$