Video Transcript
Calculate one-half to the ninth
power divided by one-half to the third power, all divided by one-half to the fourth
power.
To begin, we need to work within
the brackets first. And notice that we’re dividing two
fractions to powers. And the fractions are exactly the
same, and here as well. So we’re working with like
bases. And when dividing with like bases,
we can actually subtract their exponents.
So we have one-half to the nine
minus three power. And nine minus three is six. So we have one-half to the sixth
power divided by one-half to the fourth power. So we have like bases again. And we’re dividing. So we can subtract our
exponents. And six minus four is two. So to simplify, we need to take one
to the second power on the numerator and take two to the second power on the
denominator. One squared is one. And two squared is four. Therefore, our final answer will be
one-fourth.
