These two equations look incredibly similar. They use the exact same bases and the exact same exponents. But changing just one operator from multiplication to addition completely changes the path to the solution.
And what happens if we add just one more term to the mix? Let's unpack the hidden mechanics of exponents.
0:00 Intro
0:26 First Equation 3ⁿ⁺¹ • 3ⁿ⁺¹ • 3ⁿ⁺¹ = 27²⁶
1:45 Second Equation 3ⁿ⁺¹ + 3ⁿ⁺¹ + 3ⁿ⁺¹ = 27²⁶
2:30 Third Equation 3ⁿ⁺¹ • 3ⁿ⁺¹ • 3ⁿ⁺¹ • 3ⁿ⁺¹ = 27²⁶
3:18 Fourth Equation 3ⁿ⁺¹ + 3ⁿ⁺¹ + 3ⁿ⁺¹ + 3ⁿ⁺¹ = 27²⁶
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