Answer
-70
Work Step by Step
Use the order of operations, PEMDAS, to solve.
$7^2-[5^3+(6\div3)]+4\times2\longrightarrow$ parentheses
$7^2-[5^3+2]+4\times2\longrightarrow$ bracket/exponent then add
$7^2-[125+2]+4\times2\longrightarrow$
$7^2-127+4\times2\longrightarrow$ exponent
$49-127+4\times2\longrightarrow$ multiply
$49-127+8\longrightarrow$ add/subtract left to right
$-70$