Middle School

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------------------------------------------------ Which expression is equivalent to [tex]\sqrt[3]{216x^{27}}[/tex]?

A. [tex]6x^3[/tex]
B. [tex]6x^9[/tex]
C. [tex]72x^3[/tex]
D. [tex]72x^9[/tex]

Answer :

Answer:

b

Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
[tex] \sqrt[3]{216 x^{27} } [/tex]
2. Rewriting the expression we have:
[tex] \sqrt[3]{6^3 x^{27} } [/tex]
3. You have that [tex]6^3[/tex] and the exponent [tex]27
[/tex] are divisible by index [tex]3
[/tex]. Therefore, you have:
[tex] \sqrt[3]{216 x^{27} } =6 x^{9} [/tex]
Therefore, as you can see,
the answer is the option, which is: [tex]6 x^{9}
[/tex]

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