To calculate \((\frac{3}{2})^3\), you can follow these steps: 1. Raise the numerator and the denominator to the power of 3: \[ \left(\frac{3}{2}\right)^3 = \frac{3^3}{2^3} \] 2. Calculate \(3^3\) and \(2^3\): \[ 3^3 = 27 \quad \text{and} \quad 2^3 = 8 \] 3. Combine the results: \[ \frac{3^3}{2^3} = \frac{27}{8} \] Thus, \((\frac{3}{2})^3 = \frac{27}{8}\).

3/2 to the 3rd power

1 answer

To calculate \((\frac{3}{2})^3\), you can follow these steps:

Raise the numerator and the denominator to the power of 3: \[ \left(\frac{3}{2}\right)^3 = \frac{3^3}{2^3} \]
Calculate \(3^3\) and \(2^3\): \[ 3^3 = 27 \quad \text{and} \quad 2^3 = 8 \]
Combine the results: \[ \frac{3^3}{2^3} = \frac{27}{8} \]

Thus, \((\frac{3}{2})^3 = \frac{27}{8}\).