Answer:
[tex]286654464[/tex]
Step-by-step explanation:
first, write the equation:
[tex](2^{9}*3^{5} )*(2^{4} *3)^{2}[/tex]
solve in the parentheses from left to right:
[tex](2^{9} *3^{5} )[/tex]
solve for [tex]2^{9}[/tex]:
[tex]2*2*2*2*2*2*2*2*2=512[/tex]
then solve for [tex]3^{5}[/tex]:
[tex]3*3*3*3*3=243[/tex]
So the equation will be as:
[tex](512*243)*(2^{4} *3)^{2}[/tex]
simplify:
[tex]124416*(2^{4} *3)^{2}[/tex]
solve for [tex](2^{4} *3)^{2}[/tex]:
[tex]2*2*2*2=16\\(16*3)=48[/tex]
complete equation:
[tex]124416*(48)^{2}[/tex]
the answer will be:
[tex]124416*(48)^{2} =\\124416*48*48=\\286654464[/tex]
