Answer:
[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
[tex]3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2[/tex]
calculate within parentheses [tex]\:(21-9)=12[/tex]
[tex]=3^2+12\times \:6\div \:2[/tex]
calculate exponents [tex]3^2=9[/tex]
[tex]=9+12\times \:6\div \:2[/tex]
Multiply and divide (left to right)
[tex]=9+36[/tex]
Add and subtract (left to right) [tex]12\times \:\:6\div \:\:2=36[/tex]
[tex]=45[/tex]
Thus,
[tex]3^2+\left(21-9\right)\times \:6\div \:2=45[/tex]
