



 
Hi Niiaryee, Look at the innermost nested parentheses, evaluate that and work your way out of the mess of parentheses. Starting on the left and looking for the innermost nested parentheses I see \[((((\;{ \bf (5^2 * 4^3)}\; 1/5+9^3/3)+(25+(4*5)/15)^210)/10/2)3))))).\] $5^2 * 4^3 = 25 * 64 = 1600$ so what you have now is $1600 * \frac15 = 320$ so you problem reduces to \[(((( 320 +9^3/3)+(25+(4*5)/15)^210)/10/2)3)))))\] and one set of parentheses is gone. Starting on the left and looking again for the innermost nested parentheses I see \[(((\; { \bf( 320 +9^3/3)}\; +(25+(4*5)/15)^210)/10/2)3))))).\] $9^3 = 9 \times 9 \times 9 = 729.$ Division takes precedence over addition and $\frac{729}{3} = 243,$ hence you have \[(((563+(25+(4*5)/15)^210)/10/2)3)))))\] and you have removed one more set of parentheses. The next set of innermost parentheses I see is \[(((563+(25+\; {\bf (4*5)}\; /15)^210)/10/2)3)))))\]and you can complete the problem from here,  


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