Question

How do you simplify `2^2 + 2^3 [4(3-1)(4+6)-13]`?

Answer 1

`2^2+2^3[4(3-1)(4+6)-13]=540`

Explanation:

The order of operations in such cases is given by the abbreviation PEMDAS, which stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction", in that order.

In `2^2+2^3{4(3-1)(4+6)-13}`, we should first solve parentheses and then other operations in the above order. This gives us

`2^2+2^3[4(3-1)(4+6)-13]`

= `2^2+2^3*[4*2*10-13]`

= `2^2+2^3*[80-13]`

= `4+8*67`

= `4+536`

= `540`