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Answer :
Final answer:
The expression equivalent to the cube root of 216x²⁷ is 6x⁹, which is answer option b.
Explanation:
In this question, the student wants to determine the equivalent expression to the cube root of 216x²⁷. To find this, we will need to use the rule of cubing exponentials: cube the digit term in the usual way and multiply the exponent of the exponential term by 3.The cube root of 216 is 6. For the exponential term x²⁷, we divide the exponent by 3, and the result is 9. Therefore, the equivalent expression to the cube root of 216x²⁷ is 6x⁹. Comparing this with the answer choices, we find that this is equivalent to choice b. Therefore, the correct answer is b. 6x⁹.
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