Starting with the following expression:
[tex]358(2)^2+1649(5)^2[/tex]Use the order of operations to simplify the expression.
First, solve for the powers. Square the factors of (2) and (5):
[tex]358(2)^2+1649(5)^2=358\times4+1649\times25[/tex]Next, multiply the products from left to right:
[tex]\begin{gathered} =1432+1649\times25 \\ =1432+41225 \end{gathered}[/tex]Finally, add both terms:
[tex]=42657[/tex]