Can You Solve This Algebra Puzzle in Just 10 Seconds?
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Chapter 1: A Quick Math Challenge
Are you ready to tackle a fun algebra puzzle? Remember the basics: a² = (a)(a), a¹ = a, a? = 1, and a^-1 = 1/a. Those rules will be essential for solving today's challenge!
For an extra challenge, see if you can solve it in just 10 seconds!
Start your timer now! ⏳
Before you continue, I suggest pausing the article to grab some pen and paper. Once you’re set, scroll down for the solution! 📚
Solution
Given that a^b = 1/8, we can determine a^-b by taking the reciprocal of 1/8.
This reciprocal concept is key! One important rule of exponents states:
(a^b)^c = a^(bc)
This means we can find (a^-3b) by cubing a^(-b).
And there’s our solution! Isn’t that fascinating? 🤔
What was your approach to the problem? I’d love to hear your thoughts in the comments below! 🗨️
Math Puzzles
Discover some of the best math puzzles available on Medium, covering topics like Algebra, Geometry, Calculus, and Number Theory. Share this with your friends and see if they can solve them too!
The first video showcases the challenge of solving in 10 seconds, providing a fun and engaging way to test your math skills.
The second video emphasizes speed in mathematical problem-solving, encouraging viewers to think quickly and efficiently.
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