Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the problem
We need to calculate $$(rac{2}{5})^{2}
Step 3:: Understand the operation
This means we need to multiply $rac{2}{5}$ by itself
Step 4:: Multiply the fractions
\left(rac{2}{5}\right)^{2} = rac{2}{5} \times rac{2}{5}
Step 5:: Multiply numerators and denominators
= rac{2 \times 2}{5 \times 5}
Step 6:: Simplify
= rac{4}{25}
Final Answer
Key Insights: - When raising a fraction to a power, multiply the numerators and denominators separately - The result is always a fraction where both numerator and denominator are raised to the given power
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