Here’s a neat algebra teaser that looks straightforward—until you hit the exponent. We start with two simple equations, M + N = 5 and M – N = 1, and most solvers rush to find M = 3 and N = 2. But the real kicker is the final question: what is Mⁿ? It’s easy to misread or overthink that little superscript, so in this post we’ll walk you through each step, explain why people sometimes slip up, and demonstrate exactly how to arrive at the surprising yet elegant answer. Ready to sharpen your algebra skills? Let’s dive in!
Introduction
Math puzzles like this one look simple—but they love to trip you up. Take a moment to study the image above: two basic equations involving M and N, then an exponentiation problem at the end. Before you scroll down for the answer, give it your best shot and share your guess in the comments. Ready to see if your algebra skills are sharp enough?
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Why So Many Miss It
- Rushing Through the Exponent: After finding M and N, solvers often forget that the little superscript means “raise M to the power N.”
- Sign Errors: Swapping M–N with N–M or mishandling the subtraction step.
- Overthinking a “Simple” Puzzle: Reading too much into the handwriting or layout can lead you astray.
Step-by-Step Solution
Solve the system:
- M + N = 5
- M – N = 1
Subtract the second from the first:
- (M + N) – (M – N) = 5 – 1
- So, 2 N = 4 -> N = 2
Back-substitute to find M:
- M + 2 = 5 -> M = 3
Compute the exponent:
- Mⁿ = 3² = 9
Share Your Score & Keep Training
Did you get 9 on your first try, or did you need a second glance? Drop your answer below and let us know how long it took. Hungry for more brain-teasers? Bookmark our puzzle page and challenge yourself daily to keep your logic skills in top form!
