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Evaluate. Write your answer as a fraction or whole number.\newline(23)2(\frac{2}{3})^2 = __\_\_

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Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(23)2(\frac{2}{3})^2 = __\_\_
  1. Identify Base and Exponent: Identify the base and the exponent of (23)2(\frac{2}{3})^2.\newlineIn (23)2(\frac{2}{3})^2, 23\frac{2}{3} is the base raised to the exponent 22.\newlineBase: 23\frac{2}{3}\newlineExponent: 22
  2. Choose Expanded Form: Choose the expanded form of (23)2(\frac{2}{3})^2(23)2(\frac{2}{3})^2 means 23\frac{2}{3} is multiplied by itself 22 times. Expanded Form: (23×23)(\frac{2}{3} \times \frac{2}{3})
  3. Multiply and Simplify: 23\frac{2}{3}^22 = 23×23\frac{2}{3} \times \frac{2}{3} Multiply to write in simplest form. 23\frac{2}{3}^22 = 23×23\frac{2}{3} \times \frac{2}{3} = 2×23×3\frac{2 \times 2}{3 \times 3} = \frac{44}{99} Simplest form: \frac{44}{99}

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