Answer: [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
A variable raised to a negative exponent p is equivalent to 1 divided by the variable raised to a positive exponent p.
In this equation, this rule applies to both b variables as follows:
[tex]b^{-2} = \frac{1}{b^2}[/tex]
[tex]\frac{1}{b^{-3}} = \frac{1}{\frac{1}{b^3} } = \frac{b^3}{1}[/tex]
After 'solving' for each negative exponent, you can plug them into the previous negative exponents:
[tex]\frac{1}{b^2} * \frac{b^3}{a} = \frac{b^3}{ab^2}[/tex]
Afterwards, cancel out b^2 from the top and bottom of the equation to get your final answer, as b^2 / b^2 = 1
[tex]\frac{b}{a}[/tex]
