Answer:
b = -5
Explanation:
Before we begin, remember that:
(a^m)^n = a^(m*n)
Now, applying this concept on the left hand side of the given equation, we will find that:
(y^-9)^b = y^(-9b)
Equating this to the right hand side:
y^(-9b) = y^(45)
Since the bases are equal, therefore, the powers must be equal in order for both term to be equal. This means that:
-9b = 45
b = 45/-9
b = -5
Hope this helps :)
