Flashcard 11 - Mathematics Flashcard Set for the TABE Test

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\[a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m\]

Explanation:

\[36^{\frac{3}{2}} = \sqrt{36^3} = \sqrt{46,656} = 216\]

or

\[36^{\frac{3}{2}} = (\sqrt{36})^3 = 6^3 = 6 \cdot 6 \cdot 6 = 216\]

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