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Which expression is equivalent to the cube root of [tex]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:

A

Step-by-step explanation:

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Rewritten by : Barada

The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

How to find the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

To find the equivalent expression, simplify the given equation with the help of mathematical operations.

The expression given in the problem is,

[tex]\sqrt[3]{216\times {27}}[/tex]

Let the expression which is equivalent to the above expression is n. Thus,

[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]

Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

Learn more about the equivalent expression here;

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