I found the following question in my Math B book.
It is a radical equation problem. I played with this question for 20 minutes and got nowhere.
Here it is:
8x^(-3/4) = 27
Solve for x.
The answer is x = 16/81. How do I get this answer?
Just to elaborate, we're making use of the fact that:
$\displaystyle \left(\displaystyle x^{ \displaystyle \frac{a}{b}}\right)^{ \displaystyle \frac{b}{a}} = \displaystyle x$
So for your question, mathaddict raised both sides to the power of $\displaystyle -\tfrac{4}{3}$ .