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Evaluate. Write your answer as a decimal or whole number.\newline(0.01)3=(0.01)^3 = _____

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Full solution

Q. Evaluate. Write your answer as a decimal or whole number.\newline(0.01)3=(0.01)^3 = _____
  1. Identify Base and Exponent: Identify the base and the exponent.\newlineIn (0.01)3(0.01)^3, 0.010.01 is the base raised to the exponent 33.\newlineBase: 0.010.01\newlineExponent: 33
  2. Choose Expanded Form: Choose the expanded form of (0.01)3(0.01)^3(0.01)3(0.01)^3 means 0.010.01 is multiplied by itself 33 times. Expanded Form: 0.01×0.01×0.010.01 \times 0.01 \times 0.01
  3. Multiply and Simplify: (0.01)3=0.01×0.01×0.01(0.01)^3 = 0.01 \times 0.01 \times 0.01\newlineMultiply to write in decimal form.\newline(0.01)3=0.01×0.01×0.01(0.01)^3 = 0.01 \times 0.01 \times 0.01\newline=(0.01×0.01)×0.01= (0.01 \times 0.01) \times 0.01\newline=0.0001×0.01= 0.0001 \times 0.01\newline=0.000001= 0.000001\newlineSimplest form of (0.01)3(0.01)^3: 0.0000010.000001

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