Question
Write (8a^−3)^− 2/3 in simplest form.
Answers
GPT 3.5
To simplify (8a^−3)^− 2/3, we can first rewrite the expression as 8^(-2/3) * a^(3(-2/3)).
Now simplify the expression:
8^(-2/3) = 1 / 8^(2/3) = 1 / (2^3) = 1/8
a^(3(-2/3)) = a^(-2) = 1/a^2
Therefore, the simplified form of (8a^−3)^− 2/3 is 1/(8a^2).
Now simplify the expression:
8^(-2/3) = 1 / 8^(2/3) = 1 / (2^3) = 1/8
a^(3(-2/3)) = a^(-2) = 1/a^2
Therefore, the simplified form of (8a^−3)^− 2/3 is 1/(8a^2).