Show that `9^(1/(4)).9^(1/(8)).9^(1/(16).) . .."to" oo = 3`

Explanation

To solve the problem, we need to show that the infinite product \( 9^{1/4} \cdot 9^{1/8} \cdot 9^{1/16} \cdots \) converges to 3. Let's break it down step by step.

### Step 1: Rewrite the expression
We start with the expression:
\[ 9^{1/4} \cdot 9^{1/8} \cdot 9^{1/16} \cdots \]
Using the property of exponents that states \( a^m \cdot a^n = a^{m+n} \), we can combine the terms:
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