Answer
The expression we found was $[2(9 - 11)]^4$.
The expression is evaluated to $256$.
Work Step by Step
First, we need to translate the different portions of this problem:
Subtract $11$ from $9$:
$$9 - 11$$
Multiply this difference by $2$:
$$2(9 - 11)$$
Raise the product to the fourth power:
$$[2(9 - 11)]^4$$
According to order of operations, represented by the acronym PEMDAS, we evaluate parentheses first (starting with inner parentheses), then exponents and radicals, then multiplication and division, and, finally, addition and subtraction. Therefore, we evaluate the parentheses first, starting with the innermost ones:
$$[2(-2)]^4$$
We then evaluate the next level of brackets:
$$(-4)^4$$
Finally, we evaluate the exponent:
$$256$$
The expression is evaluated to $256$.
