The expression \( \left(\frac{4}{3}\right)^n \) represents the fraction \( \frac{4}{3} \) raised to the power of \( n \), where \( n \) can be any real number.
To evaluate \( \left(\frac{4}{3}\right)^n \), you need to substitute a specific value for \( n \). Here are a few examples:
-
If \( n = 1 \): \[ \left(\frac{4}{3}\right)^1 = \frac{4}{3} \approx 1.3333 \]
-
If \( n = 2 \): \[ \left(\frac{4}{3}\right)^2 = \frac{4^2}{3^2} = \frac{16}{9} \approx 1.7778 \]
-
If \( n = 0 \): \[ \left(\frac{4}{3}\right)^0 = 1 \] (Any non-zero number raised to the power of 0 is 1.)
-
If \( n = -1 \): \[ \left(\frac{4}{3}\right)^{-1} = \frac{1}{\left(\frac{4}{3}\right)} = \frac{3}{4} = 0.75 \]
If you provide a specific exponent \( n \), I can help you calculate its value!