where do you put parentheses to make this problem true? 2 to the 2nd power * 2 +3 to the 2nd power =100

Question

2^{2 * 2} +3^{2 =100}

Answer 1

The first thing you are told for this problem is 2² which = 4 , so we can say 4 * 2 +3² =100

So, if we divide both sides by 4 then,    2 +3² = 100 ÷ 4 --->  2 +3² = 25 , now we can use some order of operations and find out where the parentheses should be.   

 

Does 2 + (3²) = 25? .... no

Does (2 + 3)² = 25? .....yes 

 

So, the final equation is :    2² * (2 + 3)² = 100