enter your answer and show all the steps that you use to solve this problem in the space provided

write (8a-^-3) ^-2/3

I treated the (8a-^-3) as a typo and changed it to (8a^-3) , so we have

(8a^-3)^(-2/3)
= (8^(-2/3) )(a^2)
= ( 2^-2)(a^2)
= (1/4)a^2 or a^2 / 4

of course the bot couldn't handle this

in simplest form

Answer: (8a^3)^2/3

Steps:

1. Rewrite the expression as (8a^-3)^-2/3

2. Apply the rule of exponents: (x^a)^b = x^(ab)

3. (8a^-3)^-2/3 = (8a^-3)^(-2/3)

4. (8a^-3)^(-2/3) = (8a^(-2*3))/3

5. (8a^(-2*3))/3 = (8a^-6)/3

6. (8a^-6)/3 = (8a^6)^(1/3)/3

7. (8a^6)^(1/3)/3 = (8a^6)^(1/3)/3

8. Simplify: (8a^6)^(1/3)/3 = (8a^6)/3