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Evaluate. Write your answer as a decimal or whole number.\newline(0.02)3=(0.02)^3 = _____

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Full solution

Q. Evaluate. Write your answer as a decimal or whole number.\newline(0.02)3=(0.02)^3 = _____
  1. Understand the problem: Understand the problem.\newlineWe need to calculate the cube of 0.020.02, which means we need to multiply 0.020.02 by itself three times.
  2. Calculate the cube: Calculate the cube of 0.020.02. \newline(0.02)3=0.02×0.02×0.02(0.02)^3 = 0.02 \times 0.02 \times 0.02
  3. Perform the multiplication: Perform the multiplication. 0.02×0.02=0.00040.02 \times 0.02 = 0.0004 (since 2×2=42 \times 2 = 4 and we have four decimal places in total)
  4. Multiply the result: Multiply the result by 0.020.02 again.\newline0.0004×0.02=0.0000080.0004 \times 0.02 = 0.000008 (since 4×2=84 \times 2 = 8 and we have six decimal places in total)

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