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Evaluate. Write your answer as a fraction or whole number.\newline(14)2=(\frac{1}{4})^2 = _____

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Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(14)2=(\frac{1}{4})^2 = _____
  1. Identify base and exponent: Identify the base and the exponent of (1/4)2(1/4)^2. In (1/4)2(1/4)^2, 1/41/4 is the base raised to the exponent 22. Base: 1/41/4 Exponent: 22
  2. Choose expanded form: Choose the expanded form of (14)2(\frac{1}{4})^2(14)2(\frac{1}{4})^2 means 14\frac{1}{4} is multiplied by itself 22 times. Expanded Form: (14×14)(\frac{1}{4} \times \frac{1}{4})
  3. Multiply for simplest form: (14)2=(14×14)(\frac{1}{4})^2 = (\frac{1}{4} \times \frac{1}{4})\newlineMultiply to write in simplest form.\newline(14)2(\frac{1}{4})^2\newline= (14×14)(\frac{1}{4} \times \frac{1}{4})\newline= \frac{11}{1616}\newlineSimplest form: 116\frac{1}{16}

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