Drag values to complete each equation. (g^5 ⋅ 9^(−9))/(9^3) = (g^(9^4))^3, g^(−14) =

Let’s address each equation step by step.

1. For the equation ((g^5 cdot 9^{-9}) / 9^3):

– Combine the exponents on the 9 terms: (9^{-9} / 9^3 = 9^{-9 – 3} = 9^{-12}).

– So, the equation simplifies to: (g^5 cdot 9^{-12}).

2. For the equation ((g^{9^4})^3):

– Apply the power of a power rule: ((g^{9^4})^3 = g^{9^4 cdot 3} = g^{3 cdot 9^4}).

3. Since you provided (g^{−14}) as part of the second equation, we need to set the exponents equal to zero (assuming you want to find when the bases are equal):

– This means (3 cdot 9^4 = -14).

4. To match terms based on the original equations, we know:

– From the first equation, we need to evaluate how to express everything in powers of (g) in a relatable way, but directly checking the value might need numerical computation; the idea is to connect the terms when you do the algebraic manipulations.

Thus, rearranging these relationships gives insight into how ex