SOLUTION: AFTER BEING AWAY FROM SCHOOL FOR OVER 30 YEARS - I AM TRYING TO HELP A YOUNG WOMAN WITH HER HOMEWORK. (HER MOTHER PASSED AWAY RECENTLY). I AM LOOKING AT: X = 4 TO THE THIRD TO THE

Algebra ->  Exponents -> SOLUTION: AFTER BEING AWAY FROM SCHOOL FOR OVER 30 YEARS - I AM TRYING TO HELP A YOUNG WOMAN WITH HER HOMEWORK. (HER MOTHER PASSED AWAY RECENTLY). I AM LOOKING AT: X = 4 TO THE THIRD TO THE      Log On


   



Question 128012: AFTER BEING AWAY FROM SCHOOL FOR OVER 30 YEARS - I AM TRYING TO HELP A YOUNG WOMAN WITH HER HOMEWORK. (HER MOTHER PASSED AWAY RECENTLY). I AM LOOKING AT:
X = 4 TO THE THIRD TO THE 4TH. I'VE NEVER SEEN AN EXPONENT HAVE AN EXPONENT.PLEASE SHOW ME HOW TO WORK SUCH A PROBLEM STEP BY STEP. dO I ASSUME THERE ARE PARENTHESIS SOMEWHERE?

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I AM LOOKING AT:
X = 4 TO THE THIRD TO THE 4TH. I'VE NEVER SEEN AN EXPONENT HAVE AN EXPONENT.PLEASE SHOW ME HOW TO WORK SUCH A PROBLEM STEP BY STEP.
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You may recall x^2 = x*x
The exponent is a counter telling you how many x's you have to multiply.
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You have: (x^3)^4)
which means: (x^3)*(x^3)*(x^3)^(x^3)
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But each of those x^3's means x*x*x
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So you have (x*x*x) four times
You have a total of 12 x's
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Final Answer (x^3)^4 = x^12
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Cheers,
Stan H.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3%29%5E4
The best way to understand this is to do the multiplications
that the exponents represent.
%28x%5E3%29%5E4+=+%28x%5E3%29%2A%28x%5E3%29%2A%28x%5E3%29%2A%28x%5E3%29
This is multilying x%5E3 by itself 4 times
Now represent x%5E3 as x%2Ax%2Ax
%28x%5E3%29%5E4+=+%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29%2A%28x%2Ax%2Ax%29
%28x%5E3%29%5E4+=+x%5E12
So, you just multiply the exponents. Don't confuse this
with x%5E3%2Ax%5E4+=+x%5E%283%2B4%29
x%5E3%2Ax%5E4+=+x%5E7 In this type of problem, you add the exponents