Which expression is equivalent to (x^6y^8) ^3/x^2y^2?

options: x^7 y^9

x^9 y^12

x^12 y^18

x^16 y^22

For this case we have the following expression:

(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2

Rewriting and for power properties we have:

(x ^ 18y ^ 24) / x ^ 2y ^ 2

(x ^ (18-2) y ^ (24-2))

(x ^ 16y ^ 22)

Answer:

The equivalent expression is given by:

(x ^ 16y ^ 22)