Answer:
Answer is C.
Step-by-step explanation:
[tex] ( {a}^{5} {b}^{2} {c}^{5} )( {ac}^{2} ) [/tex]
form brackets of common terms:
[tex] = ( {a}^{5} .a)( {b}^{2} )( {c}^{5} . {c}^{2} )[/tex]
from law of indices:
[tex]{ \boxed{ \bf{ {x}^{n} \times {x}^{m} = {x}^{(n + m)} }}}[/tex]
therefore:
[tex] = \{ {a}^{(5 + 1)} \} \{ {b}^{2} \} \{ {c}^{(5 + 2)} \} \\ = {a}^{6} {b}^{2} {c}^{7} [/tex]
