Question

Which expression is equivalent to

Answer 1

Second option: 2x^10y^12

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 2

Option No. 2

`2x^(10)y^(12)`

Explanation:

Given equation is:

`(60x^(20)y^(24))/(30x^(10)y^(12))\\=(30*2 * x^(20-10)y^(24-12))/(30)\\\\=2*x^(10)*y^(12)\\=2x^(10)y^(12)`

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:

`2x^(10)y^(12)`