The nth power of 2.8 * the nth power of 16 = the 22nd power of 2 to find the value of positive integer n

The nth power of 2.8 * the nth power of 16 = the 22nd power of 2 to find the value of positive integer n

Analysis:
It is known that the nth power of 8 * the nth power of 16 = the 22nd power of 2
Then the 3N power of 2 * the 4N power of 2 = the 22nd power of 2
That is, the 7nth power of 2 = the 22nd power of 2
So 7n = 22
The solution is n = 22 / 7