SOLUTION: hello, ok so my math teacher is quizzing me in this i am a freshman in highschool Algebra 1 and i am the smartest in the class and i do not understand this... 27^2/3 i would

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Question 447349: hello, ok so my math teacher is quizzing me in this i am a freshman in highschool Algebra 1 and i am the smartest in the class and i do not understand this...
27^2/3
i would like the steps in there i mean i get that it's:
(27^1/3)^2 but i do not get the steps and the answer..also i would like some help with negative ones too like:
27^-2/3
and the steps its sooo confusing!! and to explain it more because my math teacher wont tell me...thankyou!! (:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
27^2/3
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Exponents are instructions.
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The "2" in the numerator means "square".
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The "3" in the denominator means "take the cube root".
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You may carry out the instructions in either order.
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It's usually better to take the root first as tha way
you will be squaring a smaller number.
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So, 27^(2/3)
1st: take the cube root of 27 to get:
3^2
2nd: square to get:
9
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If you did it in reverse order:
1st: square to get
729^(1/3)
2nd: take the cube root of 729 to get:
9
=========================================
Hope this helps.
Cheers,
Stan H.