Answer :
To find the cube root of [tex]\(27x^{18}\)[/tex], we need to look at both the numerical and variable parts separately.
1. Cube Root of the Numerical Coefficient:
The numerical coefficient given is 27. We need to find the cube root of 27.
[tex]\[
\sqrt[3]{27} = 3
\][/tex]
2. Cube Root of the Variable Part:
We have the variable part as [tex]\(x^{18}\)[/tex]. To find the cube root, we take the power and divide it by 3:
[tex]\[
\left(x^{18}\right)^{1/3} = x^{18/3} = x^6
\][/tex]
3. Combining Both Parts:
By combining the results from both steps, the cube root of [tex]\(27x^{18}\)[/tex] is:
[tex]\[
3x^6
\][/tex]
Therefore, the cube root of [tex]\(27x^{18}\)[/tex] is [tex]\(3x^6\)[/tex].
1. Cube Root of the Numerical Coefficient:
The numerical coefficient given is 27. We need to find the cube root of 27.
[tex]\[
\sqrt[3]{27} = 3
\][/tex]
2. Cube Root of the Variable Part:
We have the variable part as [tex]\(x^{18}\)[/tex]. To find the cube root, we take the power and divide it by 3:
[tex]\[
\left(x^{18}\right)^{1/3} = x^{18/3} = x^6
\][/tex]
3. Combining Both Parts:
By combining the results from both steps, the cube root of [tex]\(27x^{18}\)[/tex] is:
[tex]\[
3x^6
\][/tex]
Therefore, the cube root of [tex]\(27x^{18}\)[/tex] is [tex]\(3x^6\)[/tex].
