We are given the following expression
[tex]3^2+6^2\div3[/tex]
Let us simplify the expression
Recall the order of operations (PEMDAS)
Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction
So first solve the exponents, then division and finally addition
[tex]\begin{gathered} 3^2+6^2\div3 \\ (3\times3)^{}+(6\times6)\div3 \\ 9+36\div3 \\ 9+\frac{36}{3} \\ 9+12 \\ 21 \end{gathered}[/tex]
Therefore, the simplified answer is 21.
Similarly, the second expression is given by
[tex](2^3+3^3)\div7[/tex]
First, perform all the operations inside the parenthesis and then division
[tex]\begin{gathered} (2^3+3^3)\div7 \\ (2\times2\times2^{}+3\times3^{}\times3)\div7 \\ (8+27)\div7 \\ (35)\div7 \\ \frac{35}{7} \\ 5 \end{gathered}[/tex]
Therefore, the simplified answer is 5.
