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

Answer:

$3^2+\left(21-9\right)\times \:6\div \:2=45$

Step-by-step explanation:

Given the expression

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

Follow the PEMDAS order of operations

$3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2$

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

$=3^2+12\times \:6\div \:2$

calculate exponents  $3^2=9$

$=9+12\times \:6\div \:2$

Multiply and divide (left to right)

$=9+36$

Add and subtract (left to right)  $12\times \:\:6\div \:\:2=36$

$=45$

Thus,

$3^2+\left(21-9\right)\times \:6\div \:2=45$