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Step 1:I'll solve this step-by-step using the precise LaTeX formatting guidelines you specified:
Step 2:: Understand the Notation
The problem asks us to simplify $$5 \sqrt[3]{1}$$.
This is a cube root expression where 5 is multiplied by the cube root of 1.
Step 3:: Evaluate the Cube Root
\sqrt[3]{1} = 1
This is because any number cubed to the power of \frac{1}{3} returns the original number.
Step 4:: Multiply by 5
5 \times \sqrt[3]{1} = 5 \times 1 = 5
Final Answer
Key Insights: - The cube root of 1 is always 1 - Multiplying the cube root of 1 by 5 simply results in 5 - This problem tests understanding of root operations and basic multiplication
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