Question 85819
Hope your question is as follows...




{{{ 2^4 * 2^5 }}}


Here you can use the law of exponents, that is {{{ x^m * x^n = x^(m+n) }}}


That is ,   {{{ 2^4 * 2^5 }}} = {{{ 2^(4 + 5) }}}




==> {{{ 2^9}}}, which is the answer.....



For the second question:



 {{{ b*c^2*b^6*c^2}}} here first of all collect the like terms together(means like variable)




==> {{{ b*b ^6 * c^2*c^2}}} = {{{ b^1*b ^6 * c^2*c^2}}} you can write b = {{{b^1}}}  




==> {{{ b^(1+6) * c^(2+2) }}}



==> {{{ b^7 * c^4 }}}, which is the answer...




Hope you found the explanation useful....


Regards.



Praseena.