SOLUTION: Simplify the Expression: {{{ 64^(1/12) }}}

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Question 1154651: Simplify the Expression:
+64%5E%281%2F12%29+
Found 4 solutions by mananth, MathLover1, MathTherapy, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
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+64%5E%281%2F12%29+

2^(6/12)

2^(1/6)




Answer by MathLover1(20849) About Me  (Show Source):
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matrix%282%2C1%2C%22%22+%2C64%5E%281%2F12%29+%29.........write 64 as 2%5E6
matrix%282%2C1%2C%22%22+%2C%282%5E6%29%5E%281%2F12%29+%29........multiply exponents
matrix%282%2C1%2C%22%22+%2C2%5E%286%2A%281%2F12%29%29+%29
matrix%282%2C1%2C%22%22+%2C2%5E%28cross%286%29%2Fcross%2812%292%29+%29
matrix%282%2C1%2C%22%22+%2C2%5E%281%2F2%29+%29

Answer by MathTherapy(10552) About Me  (Show Source):
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Simplify the Expression:
+64%5E%281%2F12%29+
Correct answer: highlight_green%28matrix%281%2C3%2C+%22%22+2%5E%281%2F2%29%2C+or%2C+sqrt%282%29%29%29

Answer by josgarithmetic(39617) About Me  (Show Source):
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64^(1/12)
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%288%5E2%29%5E%281%2F12%29

8%5E%282%2F12%29=8%5E%281%2F6%29


%282%5E%283%29%29%5E%281%2F6%29

2%5E%283%2F6%29

2%5E%281%2F2%29=sqrt%282%29