Answer:
The answer is 729/64.
Step-by-step explanation:
I would first simplify the equation.
In the denominator, you can get rid of b^0 because that just equals 1.
For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.
Equation: [tex](\frac{3ab^2}{2a^3})^2[/tex]
Now, you can subtract a and a^3. This would be 1/a^2.
Equation: [tex](\frac{3b^2}{2a^2})^2[/tex]
Now, you can square the whole equation.
Equation: [tex]\frac{9b^4}{4a^4}[/tex]
This is the simplified equation. Now you can plug in -2 and -3.
Equation: [tex]\frac{9(-3)^4}{4(-2)^4}[/tex]
Equation: [tex]\frac{9(81)}{4(16)}[/tex]
Equation: 729/64
