Question

What is the value of b in the equation (y^-9)^b=y^45?

Answer 1

Create equivalent expressions in the equation that all have equal bases, then solve for b.

b= -5
Hope this helps :)

Answer 2

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 :)