I don’t understand… #maths #school #psat #education #tutor — Transcript
Full transcript
- 0:00Okay, I don't understand how people are
- 0:01still getting this question wrong on the
- 0:02SAT.
- 0:04Okay, for this question, we're going to
- 0:05first square both sides to get rid of
- 0:07the square root. So, this cancels out
- 0:08leaving just x times square root of x is
- 0:12equal to 125 to the power of 2. And we
- 0:15can simplify. We know that x is same as
- 0:17x to the power of 1 times we know that
- 0:19square root of x is same as x to the
- 0:21power of 1 over 2. And lastly, we know
- 0:23that 125 is such 5 to the power of 3 to
- 0:26the power of 2. And from here, since
- 0:28we're multiplying two numbers with the
- 0:29same bases, we're just adding the
- 0:30exponents together. So, 3 over 2 is
- 0:33equal to 5 to the power of 3 times 2 is
- 0:366.
- 0:37And from here, we're going to multiply 2
- 0:39over 3 to each exponent to isolate for
- 0:41x.
- 0:42When we do so, this cancels out leaving
- 0:44just x on the left-hand side is equal to
- 0:46this cancels out leaving just 2 and then
- 0:482 times 2 is 4. So, 5 to the power of 4.
- 0:51And therefore, x is just equal to this
- 0:53is 625 and that's the answer.
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