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

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

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

Answer

Explanation:

Step1: Apply power - to - fraction rule

$(\frac{2}{3})^4=\frac{2^4}{3^4}$

Step2: Calculate numerator and denominator

$2^4 = 2\times2\times2\times2=16$, $3^4=3\times3\times3\times3 = 81$

Answer:

$\frac{16}{81}$