Final answer:
To write 3 (³√9) using rational exponents, we can rewrite the cube root of 9 as 9^(1/3) and simplify it further to 3^(2/3).
Step-by-step explanation:
To write 3 (³√9) using rational exponents, we can first rewrite the cube root of 9 as 9^(1/3). Next, we can apply the property of exponents that states (a^m)^n = a^(m*n). So, we can rewrite 9^(1/3) as (3^2)^(1/3) = 3^(2*(1/3)) = 3^(2/3). Therefore, 3 (³√9) can be written as 3^(2/3).