Question

Describe how to evaluate the expression 3^2 + (21 - 9) X 6÷2. Can someone help me out, please? I'm having trouble, and my teacher isn't responding to my messages.

Answer 1

`3^2+\left(21-9\right)* \:6/ \:2=45`

Explanation:

Given the expression

`3^2\:+\:\left(21\:-\:9\right)\:* \:6/ 2`

Follow the PEMDAS order of operations

`3^2\:+\:\left(21\:-\:9\right)\:* \:6/ 2`

calculate within parentheses
`\:(21-9)=12`

`=3^2+12* \:6/ \:2`

calculate exponents
`3^2=9`

`=9+12* \:6/ \:2`

Multiply and divide (left to right)

`=9+36`

Add and subtract (left to right)
`12* \:\:6/ \:\:2=36`

`=45`

Thus,

`3^2+\left(21-9\right)* \:6/ \:2=45`