# How do you simplify (1 + 3 times 3)^2 + 8 using order of operations?

Jun 21, 2018

#### Answer:

$108$

#### Explanation:

${\left(1 + 3 \cdot 3\right)}^{2} + 8 = {10}^{2} + 8 = 108$

108

#### Explanation:

given ${\left(1 + 3 \cdot 3\right)}^{2} + 8$, you first go inside the parenthesis (first you multiply and then add), so we get ${\left(1 + 9\right)}^{2} + 8$.
now we add inside the parenthesis and we get ${\left(10\right)}^{2} + 8$.
now we have to calculate ${\left(10\right)}^{2} = \left(10\right) \left(10\right) = 100$.
finally, we add the 8 and we obtain $100 + 8 = 108$