SOLUTION: (xy3z4)4 trying to remember how to do algebra so I can help my 7th grade daughter. can you show me how to solve this

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Question 1093234: (xy3z4)4 trying to remember how to do algebra so I can help my 7th grade daughter. can you show me how to solve this
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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(xy3z4)4 trying to remember how to do algebra so I can help my 7th grade
daughter. can you show me how to solve this
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Not really because the expression is not clearly written. But a try is possible.

What is the "3"? An exponent or a factor?
What are the two "4"? Exponent or factor?

In case you have this: %28xy3z%5E4%29%5E4
the simplification can go as
%283xyz%5E4%29%5E4
3%5E4%2A%28x%5E4%2Ay%5E4%29%28z%5E4%29%5E4
81x%5E4%2Ay%5E4%2Az%5E16

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If the constants are all actually exponents, then %28xy%5E3%2Az%5E4%29%5E4;
just apply rules of exponents.
x%28y%5E3%29%5E4%2A%28z%5E4%29%5E4
x%5E4%2Ay%5E12z%5E16

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!

Just for clarification on the first response you got, where the writer didn't write exactly what she meant at one point....

I will assume all of the numbers are exponents, so the given expression is
%28xy%5E3z%5E4%29%5E4

To simplify, you need to apply the "outer" exponent 4 to all of the factors inside the parentheses. The factors inside the parentheses are x, y^3, and x^4. Basic rules of exponents then give us


Note the previous response had the final answer right; but an exponent was missing in the last expression before the final answer. Since you are helping your daughter to try to understand this, I thought it might be worth my time to make that clarification for you.