SOLUTION: Could someone please help me simplify ^4(sqrt)z^4 Thanks so much for your help! I have really struggled with this one!

Algebra ->  Radicals -> SOLUTION: Could someone please help me simplify ^4(sqrt)z^4 Thanks so much for your help! I have really struggled with this one!      Log On


   

Question 69394: Could someone please help me simplify
^4(sqrt)z^4
Thanks so much for your help! I have really struggled with this one!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does your question look like this? 4%2Asqrt%28z%5E4%29 If so then you can simply look at the square root as a fractional exponent. Rewrite the expression as
4%2A%28z%5E4%29%5E%281%2F2%29 the 1/2 exponent is the square root rewritten
Since an exponent of an exponent can be written as a product, we can rewrite further. Or in other words x%5Ey%5Ez=x%5E%28y%2Az%29.
So we can say
4%2A%28z%5E4%29%5E%281%2F2%29 can be rewrittern as
4%2A%28z%5E%284%2A%281%2F2%29%29%29 Now multiply exponents and simplify
4%2A%28z%5E2%29This is what your answer should look like
4z%5E2 Or it could look like this