Drag values to complete each equation.
g^7
g^(−1)
g^(−2)
g^(−7)
(g^5 ⋅ 9^(−9))/(9^3) =
(g^(9^4))^3, g^(−14) =
Drag values to complete each equation. (g^5 ⋅ 9^(−9))/(9^3) = (g^(9^4))^3, g^(−14) =
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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