Answer:
The value of r is 1/3
Explanation:
Let's solve for r in the equation:
16 ^(3-3r) = 256
16 ^(3-3r) = 16²
3 - 3r = 2
-3r = 2 - 3
-3r = -1
r = -1/-3
r = 1/3
Let's prove r = 1/3 is correct:
16 ^(3-3r) = 256
16 ^ (3 - (3 * 1/3)) = 256
16 ^ (3 - 1) = 256
16 ² = 256
16 * 16 = 356
We proved that r = 1/3 is correct