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Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)o...

Prove that `6^(1//2)xx6^(1//4)xx6^(1//8)oo=6.`

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To prove that \( 6^{\frac{1}{2}} \times 6^{\frac{1}{4}} \times 6^{\frac{1}{8}} \times \ldots = 6 \), we can follow these steps: ### Step 1: Rewrite the expression We start with the left-hand side: \[ LHS = 6^{\frac{1}{2}} \times 6^{\frac{1}{4}} \times 6^{\frac{1}{8}} \times \ldots \] ...
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