Order of Operations (PEMDAS) Calculator
The calculator will evaluate the given expression showing the order of operations using PEMDAS.
Your Input
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:
$$${\color{red}\left(15^{2}\right)} = {\color{red}\left(225\right)}$$$