Respuesta :

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]