Write (8a^-6) ^-2/3 in simplest form

The answer is

(a^2) / 4:

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

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

In teh given expression (8a^-6) ^-2/3, the power of each variable is multiplied to the power of the whole expression. In this case, - 6 multiplied to - 2/3 is equal to 4. The constant is raised to the given power. 8 ^ - 2/3 is equal to 1/4. hence the answer is 0.25 a^4