Question

Which of the following is equal to the square root of the cube root of 6?

6 to the power of 1 over 6

6 to the power of 1 over 3

6 to the power of 2 over 3

6 to the power of 3 over 2

Answer 1

The correct answer is: [A]: " 6 to the power of (1 over 6) " .

Step-by-step explanation:

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√ [(∛6)] = √ [6⁽¹/³⁾ ] = [6⁽¹/²⁾ ] ⁽¹/³⁾ = 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) = ???? ;

Note:
`(1)/(2) *(1)/(3) <strong> =</strong> ((1*1))/((2*3)) <strong>=</strong> (1)/(6)` ;

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→ 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) ;

= 6^ ( ⁽¹/⁶⁾ ) ;

→ which is: Answer choice: [A]: " 6 to the power of (1 over 6) " .

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