SOLUTION: Can you solve (z-9)^(4/3)=3 ? where z is a real number. It may have more than one answer.

Question 1041733: Can you solve (z-9)^(4/3)=3 ? where z is a real number. It may have more than one answer.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!



Raise both sides to the reciprocal of  power,
which is the  power in order to cancel the
 power:



To remove the parentheses on the left, multiply the
exponents:



Multiply  and get just 1





Add 9 to both sides:



If you like you can write the fractional
exponent as a root with index the same as
the denominator and the radicand as the
base with the exponent the same as
the numerator:



Then you can write the 3³ as 27:




Edwin

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