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

May 15, 2016

${2}^{2} + {2}^{3} \left[4 \left(3 - 1\right) \left(4 + 6\right) - 13\right] = 540$

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

${2}^{2} + {2}^{3} \left[4 \left(3 - 1\right) \left(4 + 6\right) - 13\right]$

= ${2}^{2} + {2}^{3} \cdot \left[4 \cdot 2 \cdot 10 - 13\right]$

= ${2}^{2} + {2}^{3} \cdot \left[80 - 13\right]$

= $4 + 8 \cdot 67$

= $4 + 536$

= $540$