Pregunta
Evaluate. Write your answer as a fraction in simplest form. \( \left(\frac{4}{3}\right)^{3} \) \( \square \)
Ask by Christensen Powell. in the United States
Feb 28,2025
Solución de inteligencia artificial de Upstudy
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The answer is \( \frac{64}{27} \).
Solución
To evaluate (4/3)³, raise both the numerator and the denominator to the third power:
(4/3)³ = 4³/3³ = 64/27.
Thus, the answer in simplest form is 64/27.
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Simplifique esta solución Beyond the Answer
To evaluate \( \left(\frac{4}{3}\right)^{3} \), you cube both the numerator and denominator. So, it becomes \(\frac{4^3}{3^3}\). Calculating \(4^3\) gives \(64\) and \(3^3\) gives \(27\). Thus, \[ \left(\frac{4}{3}\right)^{3} = \frac{64}{27}. \] So, the answer is \(\frac{64}{27}\).
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