Respuesta :

Answer:

Second option: 2x^10y^12

Step-by-step explanation:

Divide

60/30 = 2

When exponents are divided, it subtracts.

20 - 10 = 10

2x^10

24-12 = 12

y^12

Simplify

2x^10y^12

Answer:

Option No. 2

[tex]2x^{10}y^{12}[/tex]

Step-by-step explanation:

Given equation is:

[tex]\frac{60x^{20}y^{24}}{30x^{10}y^{12}}\\=\frac{30*2 * x^{20-10}y^{24-12}}{30}\\\\=2*x^{10}*y^{12}\\=2x^{10}y^{12}[/tex]

The rules for exponents for numerator and denominators are used. The powers can be shifted from numerator to denominator and vice versa but their sign is changed.

So, the correct answer is option 2:

[tex]2x^{10}y^{12}[/tex]