Answer
The algebraic equation we came up with is $[2(7 - 10)]^2$.
The expression is evaluated to $36$.
Work Step by Step
First, we need to translate the different portions of this problem:
Subtract $10$ from $7$:
$$7 - 10$$
Multiply this difference by $2$:
$$2(7 - 10)$$
Square this product:
$$[2(7 - 10)]^2$$
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:
$$[2(-3)]^2$$
We then evaluate the next level of brackets:
$$(-6)^2$$
Finally, we evaluate the exponent:
$$36$$
The expression is evaluated to $36$.
