# Order of Operations (PEMDAS) Calculator

The calculator will evaluate the given expression, showing the order of operations PEMDAS.

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Calculate $$\left(\left(\left(1 + 3\right)^{2} - 9\right) 2 + 1\right)^{2}$$$. ## Solution Add: $$\left(\left(\color{red}{\left(1 + 3\right)}^{2} - 9\right) 2 + 1\right)^{2} = \left(\left(\color{red}{\left(4\right)}^{2} - 9\right) 2 + 1\right)^{2}$$$

Raise to the power:

$$\left(\left(\color{red}{\left(4^{2}\right)} - 9\right) 2 + 1\right)^{2} = \left(\left(\color{red}{\left(16\right)} - 9\right) 2 + 1\right)^{2}$$$Subtract: $$\left(\color{red}{\left(16 - 9\right)} 2 + 1\right)^{2} = \left(\color{red}{\left(7\right)} 2 + 1\right)^{2}$$$

Multiply:

$$\left(\color{red}{\left(7 \cdot 2\right)} + 1\right)^{2} = \left(\color{red}{\left(14\right)} + 1\right)^{2}$$$Add: $$\color{red}{\left(14 + 1\right)}^{2} = \color{red}{\left(15\right)}^{2}$$$

Raise to the power: