The answer is option A
Step-by-step explanation:
[tex] \frac{ {x}^{ - a} }{ {x}^{ - b} {x}^{c} } [/tex]
Using the rules of indices
Since the bases are the same and are dividing we subtract the exponents
That's
[tex] \frac{ {x}^{d} }{ {x}^{e} } = {x}^{d - e} [/tex]
So we have
[tex]\frac{ {x}^{ - a} }{ {x}^{ - b} {x}^{c} } = {x}^{ - a - - b - c} [/tex]
We have the final answer as
[tex] {x}^{ (- a + b - c)} [/tex]
Hope this helps you
