Answer:
[tex]a^{3}[/tex] * [tex]b^{2}[/tex]
Step-by-step explanation:
[tex]\frac{a^{12} * b^{7} }{a^{9} * b^{5} }[/tex]
Divide the equation (split the equation into parts), to show like terms;
[tex]\frac{a^{12} }{a^{9} }[/tex] * [tex]\frac{b^{7} }{b^{5} }[/tex]
Since dividing two numbers with exponents,( that have the same base), is equivalent to subtracting the exponents and retaining the base, hence:
[tex]a^{3}[/tex] * [tex]b^{2}[/tex]
