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

Answer:

b.  2x^10y^12.

Step-by-step 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

Answer:

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

Step-by-step 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

$\frac{x^a}{x^b}=x^{a-b}$

and number can be divided easily

$\frac{60}{30}*\frac{x^{20}}{x^{10}}*\frac{y^{24}}{y^{12}}$

$2*x^{20-10}y^{24-12}$

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

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