Question 1041733
<pre>{{{matrix(2,3,"","","",

(z-9)^(4/3),""="",3)}}}

Raise both sides to the reciprocal of {{{4/3}}} power,
which is the {{{3/4}}} power in order to cancel the
{{{4/3}}} power:

{{{matrix(2,3,"","","",

((z-9)^(4/3))^(3/4),""="",3^(3/4))}}}

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

{{{matrix(2,3,"","","",

(z-9)^(

matrix(1,3,4/3,""*"",3/4)




),""="",3^(3/4))}}}

Multiply {{{matrix(1,3,4/3,""*"",3/4)}}} and get just 1

{{{matrix(2,3,"","","",

(z-9)^1,""="",3^(3/4))}}}

{{{matrix(2,3,"","","",

z-9,""="",3^(3/4))}}}

Add 9 to both sides:

{{{matrix(2,3,"","","",

z,""="",9+3^(3/4))}}}

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:

{{{matrix(2,3,"","","",

z,""="",9+root(4,3^3))}}}

Then you can write the 3<sup>3</sup> as 27:

{{{matrix(2,3,"","","",

z,""="",9+root(4,27))}}}


Edwin</pre>