Answer:
(A)
Step-by-step explanation:
Tamika's work is wrong as:
The given equation is:
[tex]\frac{18a^{-5}b^{-6}}{30a^3b^{-5}}[/tex]
She added the components, while the components must be subtracted in this equation, thus the equation becomes
=[tex]\frac{3a^{-5}a^{-3}b^{-6}b^5}{5}[/tex]
=[tex]\frac{3a^{-8}b^{-1}}{5}[/tex]
=[tex]\frac{3}{5a^8b}[/tex]
which is the required simplified form.
Thus, the option A is correct.
