(4th root of 27) / (square root of 3). I rewrite it as 27^(1/4)/3^(1/2) and *then* to (3^3)^(1/4)/3^(1/2) and mess up somewhere around there.
Any help, answers or even hints appreciated, thanks!
Any help, answers or even hints appreciated, thanks!
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You're good so far: (3^3)^1/4 / 3^(1/2)
Now remember (x^m)^n = x^mn
Therefore, (3^3)^(1/4) = 3^(3 * 1/4)
= 3^(3/4) / 3^(1/2)
When dividing numbers with equal bases, subtract the exponents.
= 3^(3/4 - 1/2)
= 3^(1/4)
Now remember (x^m)^n = x^mn
Therefore, (3^3)^(1/4) = 3^(3 * 1/4)
= 3^(3/4) / 3^(1/2)
When dividing numbers with equal bases, subtract the exponents.
= 3^(3/4 - 1/2)
= 3^(1/4)
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(3^3)^(1/4) would make 3^(3/4) and then change 3^(1/2) to 3^(2/4) so both exponents have the same denominator. Then divide and you'll end up with 3^(1/4) because when you divide exponents you're subtracting them.
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27^(1/4)/3^(1/2)
3^(3/4)/3^(1/2)
3^(3/4 - 2/4)
3^(1/2)
3^(3/4)/3^(1/2)
3^(3/4 - 2/4)
3^(1/2)