# Order of Operations (PEMDAS) Calculator

## Evaluate expressions using PEMDAS step by step

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

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Calculate $\left(\left(\left(1 + 3\right)^{2} - 9\right) 2 + 1\right)^{2}$.

### Solution

$\left(\left({\color{red}\left(1 + 3\right)}^{2} - 9\right) 2 + 1\right)^{2} = \left(\left({\color{red}\left(4\right)}^{2} - 9\right) 2 + 1\right)^{2}$

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:

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

${\color{red}\left(14 + 1\right)}^{2} = {\color{red}\left(15\right)}^{2}$
${\color{red}\left(15^{2}\right)} = {\color{red}\left(225\right)}$
The value of the expression is $225$A.