Question 99316
The given expression is: 


10power of -2 divided by 10  -4power



This can be written as: 



{{{ ((10^(-2))/(10^(-4)))}}} 



==> {{{ ((1/(10^2))/(1/(10^4))) }}}



This can be written as: 



{{{ ((10^4)/(10^2)) }}} 



This is nothing but 


{{{ ((10 * 10 * 10 * 10)/ (10 * 10)) }}} 



Cancelling few of the common terms, we get: 



{{{ 10 * 10 }}} 



Thsi implies we get:



{{{ 10^2}}} 



Thus the solution... Which is expressed as the power of 10.



Regards