Answer:
D 13
Step-by-step explanation:
(b^4)^4 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^c^d = a^ (c*d)
b^(4*4) b^5 * b^x
-------------- = ----------------
b^2 b^4
b^16 b^5 * b^x
-------------- = ----------------
b^2 b^4
We know that a^ c * a^d = a^ (c+d)
b^16 b^(5+x)
-------------- = ----------------
b^2 b^4
We know that a^c / a^d = a^ (c-d)
b^(16-2) = b^(5+x-4)
b^14 = b^(1+x)
Since the base is the same, the exponent must be the same
14=1+x
Subtract 1 from each side
14-1 = 1+x-1
13 =x
