Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to express 8 cubed (8³) in two different forms: - Standard form (expanded multiplication) - Exponential form
Step 3:: Calculate 8 Cubed in Standard Form
8^{3} = 8 \times 8 \times 8 = 512
Step 4:: Verify the Exponential Form
The exponential form is simply $$8^{3}
Step 5:: Double-Check Calculations
- $$8^{3} = 512$$ ✓
- 8 × 8 = 64 - 64 × 8 = 512 ✓
Final Answer
- Standard Form: 512 - Exponential Form: 8^{3}
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