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Evaluate. Write your answer as a fraction or whole number.\newline(12)3=(\frac{1}{2})^3 = _____

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Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(12)3=(\frac{1}{2})^3 = _____
  1. Identify Base and Exponent: Identify the base and the exponent of (12)3(\frac{1}{2})^3.\newlineIn (12)3(\frac{1}{2})^3, 12\frac{1}{2} is the base raised to the exponent 33.\newlineBase: 12\frac{1}{2}\newlineExponent: 33
  2. Choose Expanded Form: Choose the expanded form of (12)3(\frac{1}{2})^3.(12)3(\frac{1}{2})^3 means 12\frac{1}{2} is multiplied by itself 33 times. Expanded Form: (12×12×12)(\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2})
  3. Multiply to Simplify: 12\frac{1}{2}^33 = 12×12×12\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} Multiply to write in simplest form. 12\frac{1}{2}^33 = 12×12×12\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{11}{88} Simplest form: \frac{11}{88}.

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