Question

Which expression is equivalent to (60x^(20)y^(24))/(30x^(10)y^(12)

a. 2x^(2)y^(2)
b. 2x^(10)y^(12)
c. 30x^(2)y^(2)
d.30x^(10)y^(12)

Answer 1

b. 2x^10y^12.

Explanation:

(60x^(20)y^(24))/(30x^(10)y^(12)

60 / 30 = 2

x^20 / x^10 = x^(20-10) = x^10

y^(24) / y^(12) = y^(24-12) = y^12.

Thus, the answer is:

2x^10y^12.

Answer 2

b. 2x^(10)y^(12)

Explanation:

(60x^(20)y^(24))/(30x^(10)y^(12)

when there is division we simplify that by subtracting the power

by using rules of indices

`(x^a)/(x^b)=x^(a-b)`

and number can be divided easily

`(60)/(30)*(x^(20))/(x^(10))*(y^(24))/(y^(12))`

`2*x^(20-10)y^(24-12)`

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

so answer is b. 2x^(10)y^(12)