Question

evaluate. write your answer as a fraction in simplest form.\\(\left(\frac{3}{2}\
ight)^4\\)

Explanation:

Step1: Apply exponent to numerator

$3^4 = 3\times3\times3\times3 = 81$

Step2: Apply exponent to denominator

$2^4 = 2\times2\times2\times2 = 16$

Step3: Form the simplified fraction

$\frac{3^4}{2^4} = \frac{81}{16}$

Answer:

$\frac{81}{16}$