You can
put this solution on YOUR website!your equation is:
since b^3 * b^3 = b^(3+3), then multiply both sides of equation by b^3 to get:
divide both sides of your equation by b^9 to get:
since sqrt(8a^9)^2 = 8a^9, and (8a^9)^2 = 64a^18, and (b^6)^2 = b^12, then square both sides of your equation to get:
since 8/64 = 1/8, and a^9 / a^18 = a^(9-18) = a^(-9) = 1/a^9, then perform the indicated operations to get:
if you are solving for b, then you will get:
if you are solving for a, then you will get:
I confirmed the answer is good by letting a = 2.
This made b = .5
You can confirm for yourself by using any number for a and then solving for b.
conversely you can use any number for b and then solve for a.
either way, the answers should be able to be plugged into the original equation to confirm that the values are good.