[tex]$x=\frac{3}{4}[/tex]
Solution:
Given expression is [tex]x^3=\frac{27}{64}[/tex].
To solve the expression and find the value of x.
[tex]$\Rightarrow x^3=\frac{27}{64}[/tex]
27 can be written as 3 × 3 × 3 = [tex]3^3[/tex]
64 can be written as 4 × 4 × 4 = [tex]4^3[/tex]
[tex]$\Rightarrow x^3=\frac{3^3}{4^3}[/tex]
Taking cube root on both sides of the function.
[tex]$\Rightarrow\sqrt[3]{x^3}=\sqrt[3]{\frac{3^3}{4^3}}[/tex]
Cube and cube roots are cancelled.
[tex]$\Rightarrow x=\frac{3}{4}[/tex]
Therefore, [tex]x=\frac{3}{4}[/tex].
