Answer :
hello!
let's write 2*2*2*2*2*2*2*2*2 in exponential form.
Notice 2 has been multiplied times itself 9 times.
Basic exponential notation:-
[tex]\sf{2*2=2^2}[/tex]
[tex]\sf{2*2*2=2^3}[/tex]
[tex]\sf{2*2*2*2=2^4}[/tex]
You should notice a pattern.
This is the pattern:-
The number of times 2 has been multiplied times itself is the exponent.
In this case, we multiplied 2 times itself 9 times.
Hence, the answer is
[tex]\bigstar{\boxed{\pmb{2^9}}}[/tex]
note:-
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)