Evaluate one half raised to the seventh power divided by one half raised to the sixth power all raised to the second power.
a) one fourth
b) one eighth
c) 1
d) one and one fourth
[tex]\frac{\frac{1}{2} ^{7} }{\frac{1}{2} ^{6} }[/tex] This would be [tex]\frac{1}{2}[/tex]. The quotient of powers principal says that when we are dividing we can subtract the exponents. 7-6 is 1 so we have [tex]\frac{1}{2} ^{1}[/tex]or just [tex]\frac{1}{2}[/tex].
Now we have [tex]\frac{1}{2} ^{2}[/tex] That means 1/2 x 1/2 which is 1/4
