### Home > CCAA8 > Chapter 7 Unit 8 > Lesson CCA: 7.1.6 > Problem7-74

7-74.

Find values of a and b that make each system of equations true (i.e., solve each system). Be sure to show your work or explain your thinking clearly.

1. $6=a·b^0$
$24=a·b^2$

Remember that b0 = 1.

You can use this fact to make the first equation 6 = a, and then substitute 6 for a in the second equation.

Solve for b.

24 = 6b2

1. $32=a·b^2$
$128=a·b^3$

a = 2,
b = 4