we have
[tex]x^{3}= \frac{27}{64}[/tex]
we know that
[tex]27=3^{3}[/tex]
[tex]64=4^{3}[/tex]
substitute in the expression
[tex]x^{3}= \frac{3^{3}}{4^{3}}[/tex]
Applying cubic root both sides
[tex](x^{3})^{\frac{1}{3}}=(\frac{3^{3}}{4^{3}})^{\frac{1}{3}}[/tex]
[tex]x=\frac{3}{4}[/tex]
therefore
the answer is
[tex]x=\frac{3}{4}[/tex]
