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

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Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(34)4=(\frac{3}{4})^4 = _____
  1. Identify Base and Exponent: Identify the base and the exponent of (34)4(\frac{3}{4})^4.\newlineIn (34)4(\frac{3}{4})^4, 34\frac{3}{4} is the base raised to the exponent 44.\newlineBase: 34\frac{3}{4}\newlineExponent: 44
  2. Choose Expanded Form: Choose the expanded form of (34)4(\frac{3}{4})^4(34)4(\frac{3}{4})^4 means 34\frac{3}{4} is multiplied by itself 44 times. Expanded Form: (34×34×34×34)(\frac{3}{4} \times \frac{3}{4} \times \frac{3}{4} \times \frac{3}{4})
  3. Multiply Numerators and Denominators: 3/43/4^44 = 3/4∗3/4∗3/4∗3/43/4 * 3/4 * 3/4 * 3/4 Multiply the numerators together and the denominators together to write in simplest form. 3/43/4^44 = 3∗3∗3∗33 * 3 * 3 * 3 / 4∗4∗4∗44 * 4 * 4 * 4 = \frac{8181}{256256} Simplest form: \frac{8181}{256256}

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