Answer:
Cube root of [tex]27x^{18}[/tex] is [tex]3x^{6}[/tex]
Step-by-step explanation:
We need to find the cube root of the expression [tex]27x^{18}[/tex]
Take a cube root over [tex]27x^{18}[/tex]
[tex]\sqrt[3]{27x^{18}}[/tex]
[tex]\sqrt[3]{3^{3}(x^{6})^{3}}[/tex]
simplify the above expression,
[tex]\sqrt[3]{(3x^{6})^{3}}[/tex]
[tex]3x^{6}[/tex]
Hence, cube root of [tex]27x^{18}[/tex] is [tex]3x^{6}[/tex]
