Video Transcript
Simplify ๐ divided by ๐ to the
seventh power to the 10th power.
The first thing we can go ahead and
do is note that ๐ can also be written as ๐ to the first power. After that, we wanna distribute
this 10th power to the ๐ to the first power and ๐ to the seventh power.
Doing this is taking a power to a
power. And that means we multiply the
exponents together. ๐ to the first power becomes ๐ to
the one times 10 power. And ๐ to the seventh power becomes
๐ to the seven times 10 power. Bring down the division, ๐ to the
10th divided by ๐ to the 70th. We can rewrite this division as a
fraction, ๐ to the 10th over ๐ to the 70th.
Our simplified form is ๐ to the
10th power over ๐ to the 70th power.
