Grade 5SuperchallengeOrder of Operations

Order of Operations · Superchallenge problem

Start with $3 + 2 \times 3$ . To make the next expression, put the whole previous expression in parentheses in place of the last $3$ of " $3 + 2 \times 3$ ":

3 + 2 \times (3 + 2 \times 3), \qquad 3 + 2 \times [3 + 2 \times (3 + 2 \times 3)], \qquad \ldots

What is the value of the $8$ th expression in this list?

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