Answer:
a = [tex]\frac{9}{4}[/tex] , b = - 2
Step-by-step explanation:
Given the 2 equations
9 = ab² → (1)
- 72 = a[tex]b^{5}[/tex] → (2)
Divide (2) by (1)
[tex]\frac{-72}{9}[/tex] = [tex]\frac{ab^5}{ab^2}[/tex]
- 8 = b³ ( take the cube root of both sides )
[tex]\sqrt[3]{-8}[/tex] = b , that is
b = - 2
Substitute b = - 2 into (1) and solve for a
9 = a(- 2)² = 4a ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = a
