Question

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

Answer 1

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)