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Evaluate. Write your answer as a decimal or whole number.\newline(0.1)4=(0.1)^4 = _____

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Full solution

Q. Evaluate. Write your answer as a decimal or whole number.\newline(0.1)4=(0.1)^4 = _____
  1. Identify base and exponent: Identify the base and the exponent.\newlineIn (0.1)4(0.1)^4, 0.10.1 is the base raised to the exponent 44.\newlineBase: 0.10.1\newlineExponent: 44
  2. Choose expanded form: Choose the expanded form of (0.1)4(0.1)^4(0.1)4(0.1)^4 means 0.10.1 is multiplied by itself 44 times. Expanded Form: 0.1×0.1×0.1×0.10.1 \times 0.1 \times 0.1 \times 0.1
  3. Multiply to write decimal form: (0.1)4=0.1×0.1×0.1×0.1(0.1)^4 = 0.1 \times 0.1 \times 0.1 \times 0.1\newline Multiply to write in decimal form.\newline (0.1)4=0.1×0.1×0.1×0.1(0.1)^4 = 0.1 \times 0.1 \times 0.1 \times 0.1\newline = (0.1×0.1)×(0.1×0.1)(0.1 \times 0.1) \times (0.1 \times 0.1)\newline = 00.0101 \times 00.0101\newline = 00.00010001

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