Answer:
y = 4.
Step-by-step explanation:
We can do this by changing all the base numbers to 3.
Note that 9 = 3^2 and 27 = 3^3.
So the equation becomes:
(3^2)^y = 3^5 * (3^2)^6 / (3^3)^3
By the law of indices:
3^2y = 3^5 * 3^12 / 3^9
3^2y = 3^17/ 3^9
3^2y = 3^8
So since the base is 3 in both terms
2y = 8
y = 4.
