Answer:
The expression will be evaluated as:
[tex]3^2+\left(21-9\right)\times \:6\div \:2=45[/tex]
Step-by-step explanation:
Given the expression
[tex]3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2[/tex]
Follow the PEMDAS order of operations
Calculate within parentheses
[tex]=3^2+12\times \:6\div \:2[/tex]
Calculate exponents i.e. 3²=9
[tex]=9+12\times \:6\div \:2[/tex]
Multiply and divide (left to right) i.e. 12×6÷2=36
[tex]=9+36[/tex]
Add and subtract (left to right) i.e. 9+36 = 45
[tex]=45[/tex]
Thus, the expression will be evaluated as:
[tex]3^2+\left(21-9\right)\times \:6\div \:2=45[/tex]