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asked Sep 8, 2023 134k views

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Anacrust · Answer 1 · 2023-09-14T07:58:58+0000

Answer:

Simplifying the expression gives;

Step-by-step explanation:

Given the expression:

$(3^(-9)\cdot3^(12))/(3^6\cdot3^2)$

Applying the rules of exponent;

$\begin{gathered} (3^(-9)\cdot3^(12))/(3^6\cdot3^2)=(3^(-9+12))/(3^(6+2))=(3^3)/(3^8) \\ \end{gathered}$

Solving further;

$(3^3)/(3^8)=3^3\cdot3^(-8)=3^(3-8)=3^(-5)=(1)/(3^5)$

Therefore, simplifying the expression gives;