Question

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

Answer 1

Answer:

A

Step-by-step explanation:

$\frac{\frac{1}{2} ^{7} }{\frac{1}{2} ^{6} }$   This would be $\frac{1}{2}$.  The quotient of powers principal says that when we are dividing we can subtract the exponents.  7-6 is 1 so we have $\frac{1}{2} ^{1}$or just $\frac{1}{2}$.

Now we have $\frac{1}{2} ^{2}$  That means 1/2 x 1/2 which is 1/4