### Home > INT3 > Chapter 2 > Lesson 2.2.2 > Problem2-59

2-59.

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. Homework Help ✎

1. $2=a·b^0$
$\frac{1}{2}=a·b^2$

Anything raised to the zero power is equal to $1$. Knowing this, what is $a$ equal to?

$a=2,\ b=\pm \frac {1}{2}$

1. $\frac{1}{2}=a·b^0$
$2=a·b^2$

Refer to part (a).