### Home > INT3 > Chapter 5 > Lesson 5.1.2 > Problem5-28

5-28.

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. Homework Help ✎

1. $3 = a \cdot b^0$
$75 = a \cdot b^2$

Anything to the zero power is $1$, so $a = 3$.

1. $18=a\cdot b^2$
$54 = a \cdot b^3$

Solve for a in the first equation. Then use substitution.

$b = 3$