Answer
$$ y = ka^2b^5$$
Work Step by Step
We can break the given wording into pieces to create a mathematical expression. First, since this is a variation equation, we start with a constant, k:
$$ y = k$$
We know that y varies directly with a squared, so:
$$ y = ka^2$$
Also, the problem tells us that y varies directly with b raised to the fifth power. This gives the answer:
$$ y = ka^2b^5$$
