Answer:
3^16
Step-by-step explanation:
12^8 * 9^12
Rewrite 12 as 3*4 and 9 as 3*3
(3*4)^8 * (3*3)^12
We know that (ab)^c = a^c * b^c
3^8 4^8 3^12 3^12
We can write 4 as 2^2
3^8 2^2^8 3^12 3^12
We know a^b^c = a^(b*c)
3^8 2^(2*8) 3^12 3^12
3^8 2^(16) 3^12 3^12
We also know that a^b *a^c *a^d = a^(b+c+d)
2^(16) 3^8 3^12 3^12
2^(16) 3^(8+12+12)
2^16 3^(32)
But we need 6 ^16 so we will need a 3^16 3^32 = 3^16 * ^16 (16+16=32)
2^16 *3^16 *3^16
Remember a^b*c^b = (ac)^b
(2*3)^16 3^16
6^16 3^16
The first and second ones
If you mean where m=17 then the answer is 3 because 17-5 is 12 and 12/4 is 3.
