# How do you simplify (5^2 * 2 - 8) ÷ [3(3^2 - 2)]?

##### 1 Answer
May 2, 2018

$\textcolor{b l u e}{\implies 2}$

#### Explanation:

$\frac{{5}^{2} \cdot 2 - 8}{3 \cdot \left({3}^{2} - 2\right)}$

Following the order of operations color(indigo)("PEMDAS"

=> (5^2 * 2 - 8) / [3*3^2 - 3*2], color(red)("Removing bracket"

=> (25 * 2 - 8) / [3*9 - 3*2], color(red)("expanding exponent"

=>(50 - 8) / (27 - 6), color(red)("multiplying"

=> 42 / 21, color(red)("removing braces"

$\implies {\cancel{42}}^{\textcolor{b l u e}{2}} / \cancel{21} = 2$