Can You Solve This Exponents Puzzle? 🔥

Added: 2026-05-17

[00:00:00]If 63 squared equals 3 to the power of x times 7 to the power of y, then what's x plus y? To do this, I must manipulate this part of the equation right here.

[00:00:12]So, I could see 63, I could change that to 9 * 7, and I still have the square outside. And 9, I'm going to change that to 3 squared * 7 squared.

[00:00:27]I'm going to distribute the exponent.

[00:00:29]So, that's going to be 3 to the power of 4 * 7 squared. Now, I'm going to bring this part of the equation down here. And now it's obvious that the x equals 4 and the y equals 2 by matching.

[00:00:48]And therefore, x + y equals 4 + 2, which equals 6.