simplify three A to the fifth over nine A squared times A to the fourth over A to the third so before we even worry about the A's we can actually simplify the three and the nine they're both divisible by three so let's divide the numerator and the denominator here by three so if we divide the numerator by three, the three becomes a one if we divide the denominator by three, the nine becomes a three so this reduces to, or simplifies to, one A to the fifth times A to the fourth or maybe i should say A to the fifth over three A squared times A to the fourth over A to the third now this, if we just multiply the two expressions this would be equal to one A to the fifth times A to the fourth in the numerator and we don't have to worry about the one, it doesn't change the values so it's A to the fifth times A to the fourth in the numerator and then we have three times A squared times A to the third in the denominator now there's multiple ways that we can simplify this from here one, sometimes its called the quotient rule, and its just the idea that if you have