Answer:
D
Step-by-step explanation:
An operation of two real numbers is defined by the rule
[tex]a\bigotimes b=b^a+2ab[/tex]
Calculate [tex]2\bigotimes (1\bigotimes 3).[/tex] First evaluate the expression in brackets:
[tex]1\bigotimes 3=1^3+2\cdot 1\cdot 3=1+6=7[/tex]
Now,
[tex]2\bigotimes (1\bigotimes 3)=2\bigotimes 7=2^7+2\cdot 2\cdot 7=128+28=156[/tex]