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Evaluate. Write your answer as a fraction or whole number.\newline(34)2(\frac{3}{4})^2 = __\_\_

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Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(34)2(\frac{3}{4})^2 = __\_\_
  1. Identify Base and Exponent: Identify the base and the exponent of (34)2(\frac{3}{4})^2.\newlineIn (34)2(\frac{3}{4})^2, 34\frac{3}{4} is the base raised to the exponent 22.\newlineBase: 34\frac{3}{4}\newlineExponent: 22
  2. Choose Expanded Form: Choose the expanded form of (34)2(\frac{3}{4})^2(34)2(\frac{3}{4})^2 means 34\frac{3}{4} is multiplied by itself once. Expanded Form: (34×34)(\frac{3}{4} \times \frac{3}{4})
  3. Multiply Numerators and Denominators: 34\frac{3}{4}^22 = 34∗34\frac{3}{4} * \frac{3}{4} Multiply the numerators together and the denominators together to write in simplest form. 34\frac{3}{4}^22 = 3∗34∗4\frac{3 * 3}{4 * 4} = \frac{99}{1616} Simplest form: \frac{99}{1616}

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