### Home > A2C > Chapter 3 > Lesson 3.2.1 > Problem3-96

3-96.

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

1.  $3=a·b^0$
$75=a·b^2$

What is $b^0$?

Use the value of $a$ from the first equation to solve for $b$ in the second equation.

$75=3\cdot b^2$

1.  $18=a·b^2$
$54=a·b^3$

Review what the Equal Value Method is, and remember to isolate $a$ first.

$a = 2$
$b = 3$