## Thinking Mathematically (6th Edition)

$\left[(9-11)\cdot 2\right]^4$; The simplified form of the expression is equal to $256$.
Subtract 11 from 9: $9-11$ Multiply the difference by $2$: $(9-11) \cdot 2$ Raise the product to the fourth power: $\left[(9-11)\cdot 2\right]^4$ The order of operations states that to simplify the expression, the first step is to simplify the expression inside the parentheses. Thus, $\left[(9-11)\cdot 2\right]^4=(-2 \cdot 2)^4=(-4)^4$ The next step is to apply the exponent: $(-4)^4=(-4)(-4)(-4)(-4)=256$