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Step 1:I'll solve this step by step using the precise LaTeX formatting guidelines you specified:
Step 2:: Isolate x by taking the cube root of both sides
64 = x^{3}
To solve for x, we need to take the cube root of 64.
Step 3:: Calculate the cube root
x = \sqrt[3]{64}
Step 4:: Simplify the cube root
4^{3} = 4 \times 4 \times 4 = 64 \checkmark
Verification Step: Let's verify our solution by cubing 4:
Final Answer
Key Insights: - The cube root of 64 is 4 - When we cube 4, we get back to 64 - This is a straightforward algebraic solution using the cube root operation
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