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Evaluate. Write your answer as a fraction or whole number.\newline(14)3=(\frac{1}{4})^3 = ____\_\_\_\_

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Q. Evaluate. Write your answer as a fraction or whole number.\newline(14)3=(\frac{1}{4})^3 = ____\_\_\_\_
  1. Identify base and exponent: Identify the base and the exponent of (14)3(\frac{1}{4})^3.\newlineIn (14)3(\frac{1}{4})^3, 14\frac{1}{4} is the base raised to the exponent 33.\newlineBase: 14\frac{1}{4}\newlineExponent: 33
  2. Choose expanded form: Choose the expanded form of (14)3(\frac{1}{4})^3(14)3(\frac{1}{4})^3 means 14\frac{1}{4} is multiplied by itself 33 times. Expanded Form: (14×14×14)(\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4})
  3. Multiply for simplest form: 14\frac{1}{4}^33 = 14×14×14\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}\newlineMultiply to write in simplest form.\newline(14)3\left(\frac{1}{4}\right)^3\newline= (14×14×14)\left(\frac{1}{4} \times \frac{1}{4} \times \frac{1}{4}\right)\newline= 164\frac{1}{64}\newlineSimplest form: 164\frac{1}{64}

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