CPM Homework Help : INT1 Problem 8-84

Determine values for 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.

$6 = a \cdot b ^ { 0 }$
$24 = a \cdot b ^ { 2 }$

Hint (a):

What is $b^{0}$ equivalent to?

More help (a):

Once you have the value for $a$ use it to solve for $b$ in second equation.

$32 = a \cdot b ^ { 2 }$
$128 = a \cdot b ^ { 3 }$

Step 1(b):

Solve both equations for $a$ .

Step 2(b):

Set both equations equal to each other (Equal Values Method), and multiply both sides by the common denominator of both fractions.

Step 3(b):

Solve for $b$ and substitute $b$ back into one of the original equations to solve for $a$ .

Answer (b)

$a = 2$ , $b = 4$