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41 votes
41 votes
2 Select the correct answer. Select the simplification that accurately explains the following statement. 3/7 = 7 OA. — 3 DE PR ரோடிரா (73)" = 73.73.7) = 7.7) = 3 - 5 - 7 = 1.7 = 7 O B. (- - - - - (71)' = 73.73.7) = 73. 71 = 7 OC (73) = 75.73.7) = 7. (1 +1 + 3) = 7.5 = 7 -1 = 7 * = OD. (-) = 75.7.----1+ = -1 = - . 73 + Reset Next

2 Select the correct answer. Select the simplification that accurately explains the-example-1
User Hannish
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3.1k points

1 Answer

19 votes
19 votes
Answer:

The correct option is D

Step-by-step explanation:
\begin{gathered} \sqrt[3]{7}=7^{(1)/(3)} \\ \\ \text{Therefore,} \\ (7^{(1)/(3)})^3=7^{(1)/(3)}*7^{(1)/(3)}*7^{(1)/(3)} \\ \text{Applying the rule of indices, we sum the indexes} \\ =7^{(1)/(3)+(1)/(3)+(1)/(3)} \\ \\ =7^{(3)/(3)} \\ \\ =7^1 \\ =7 \end{gathered}

User Henrik Pingel
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2.7k points