Only 5% can solve this SAT problem..

Added: 2026-05-17

[00:00:00]Only 5% of people can solve this SAT problem. Can you? So, okay. I'm like, let's [music] take the teeth root of both sides. The teeth root of teeth of t to the 32. No, bring back the question. We we got to get a little fancy. Let's raise both sides to the power of 1 over t. [music] So, 2 to the t to the 1 over t equals t to the 32 to the 1 over t. An exponent to an exponent means we can multiply them over. So, our t's cancel in the first one and we just get 2 equals t to the 32 over t. Okay, progress. Let's actually do that again to cancel [music] more stuff. Raise both sides to the 1 over 32. So, 2 to the 1 over 32 [music] equals t to the 32 over t to the 1 over 32. The 32s on the right cancel out now. So, we get 2 to the 1 over 32 equals t [music] to the 1 over t. Those look really close, but we need that 2 and the exponent's denominator to be the same. We can say 2 to the 1 over 32 is the same as 2 to the 1 * 1 over 32. [music] And that 1 can be 1 over 1 or 2 over 2 or 4 over 4. They're all equal. So, let's make it 2 over 2. 2 to the 2 over 2 * 1 over 32 or 2 squared to the 1/2 * 1/32. [music] That's 4 to the 1/64.

[00:01:23]Do it again. 4 to the 2/2 * 1/64 [music] or 4 squared to the 1/2 * 1/64. That's 16 to the 1 over 128. And again, 16 to the 2/2 * 1/128. 16 squared to the 1/2 * 1/128. 16 squared is 256. So, 256 to the 1 over 256. Now, bring back our other side of the equation. Check it out. We have 256 in front [music] and 1 over 256 in the exponent. That's a t. Want more SAT hacks? Click the video below.