Question

3 to the third power +6 to the 2nd power ÷3

Answer 1

We are given the following expression

`3^2+6^2/3`

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

`\begin{gathered} 3^2+6^2/3 \\ (3*3)^{}+(6*6)/3 \\ 9+36/3 \\ 9+(36)/(3) \\ 9+12 \\ 21 \end{gathered}`

Therefore, the simplified answer is 21.

Similarly, the second expression is given by

`(2^3+3^3)/7`

First, perform all the operations inside the parenthesis and then division

`\begin{gathered} (2^3+3^3)/7 \\ (2*2*2^{}+3*3^{}*3)/7 \\ (8+27)/7 \\ (35)/7 \\ (35)/(7) \\ 5 \end{gathered}`

Therefore, the simplified answer is 5.