What integer is equivalent to 9^3/2

MadsVJ asked Nov 23, 2023

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5 votes

MadsVJ asked Nov 23, 2023

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14 votes

Answer:

Answer: 27

Explanation:

${ \tt{ {9}^{ (3)/(2) } }}$

» Let's split 9 into indices of 3

${ \tt{ \dashrightarrow \: (3 * 3) {}^{ (3)/(2) } }} \\ = { \tt{( {3}^{ \blue{2}}) {}^{ \frac{3}{ \blue{2} } }} } \\$

» The 2 cancels

${ \tt{ = {3}^(3) }} \\ = 27$

Samuel Stiles answered Nov 27, 2023

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