Brain Out Level 45

Overview

This level shows the number 369 built out of wooden matchsticks on a white background, with a numeric keypad below and a large yellow answer bar that currently reads 0. The prompt asks you to move exactly one matchstick to make the biggest number possible. At first glance this looks like a classic matchstick equation puzzle, but there is no equation to balance — the only goal is the largest value you can produce by relocating a single stick. The trap is to treat it as a three-digit rearrangement problem, when the real leverage comes from turning one of the digits into a base-and-exponent pair. The on-screen keyboard lets you type any digit string, and the orange OK button commits your answer.

• Difficulty: Regular
• Estimated moves: 2

Step-by-Step Solution

1. Look at the three matchstick digits from left to right: the 3, the 6 in the middle, and the 9 on the right. Most players immediately try to swap sticks between digits to produce another three-digit number such as 969 or 395, which only changes the leading digit by one place.
2. Identify the lower-left vertical matchstick that belongs to the middle digit 6. Pull that single stick out of the 6 so the middle digit collapses from a 6 into a 5. This costs you one matchstick, but the digit itself is still readable.
3. Drag the loose matchstick you just removed up to the upper-right corner of the rightmost digit 9. Drop it so it sits as a small superscript directly above and to the right of the 9. The game interprets this raised stick as an exponent marker.
4. On the numeric keypad below, type the result the screen now shows: 36 followed by the exponent 9, i.e. the value 36 raised to the power 9. Confirm with the OK button.
5. Wait for the green check and the congratulations popup. Any ordinary three-digit answer the keyboard accepts will be dwarfed by 36^9, which is roughly a ten-billion-billion number.

Strategy & Reasoning

The reason 36^9 wins is not that the digits are rearranged cleverly — it is that exponentiation changes the order of magnitude. A three-digit number can never exceed 999, while 36^9 is astronomically larger. By moving one stick from the 6 to a superscript position, you convert a flat three-digit layout into a base-and-power expression using the same visual budget. The middle digit dropping from 6 to 5 is a small price, but in some player runs the accepted input is 36^9 because the exponent stick alone is what the game credits; either way the exponent move is the only one that produces an order-of-magnitude jump. Alternatives like moving the top of the 9 to make a 5, or flipping the 3 into a 9, only produce a few hundred — they cannot compete with a power.

Tips & Common Mistakes

• Do not waste moves trying to maximize a three-digit number. The ceiling is 999, and the game expects an exponential answer, so any flat digit string will fail.
• Do not remove more than one matchstick. The prompt explicitly says move one stick; pulling two and rebuilding both digits is rejected.
• Do not place the loose stick on the far right as a fourth digit. That only yields a four-digit number around 3695, which is still tiny next to 36^9.