CPM Homework Help : CCA2 Problem 2-145

Solve the following systems of equations. In other words, what values of $a$ and $b$ make each system true? Be sure to show your work or explain your thinking clearly.

$2=a·b^0$
$\frac{1}{2}=a·b^2$
Hint (a):
Anything raised to the zero power is equal to $1$ . Knowing this, what is $a$ equal to?
Answer (a):
$a=2,\ b=\pm \frac {1}{2}$

$\frac{1}{2}=a·b^0$
$2=a·b^2$
Hint (b):
Refer to part (a).