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What integer is equivalent to 9^3/2

Sagot :

Brainsoftidn

Answer:

Answer: 27

Step-by-step explanation:

[tex]{ \tt{ {9}^{ \frac{3}{2} } }}[/tex]

» Let's split 9 into indices of 3

[tex]{ \tt{ \dashrightarrow \: (3 \times 3) {}^{ \frac{3}{2} } }} \\ = { \tt{( {3}^{ \blue{2}}) {}^{ \frac{3}{ \blue{2} } }} } \\ [/tex]

» The 2 cancels

[tex]{ \tt{ = {3}^{3} }} \\ = 27[/tex]

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