Question

Which expression is equivalent to (3√x^2)^6

Answer 1

Step-by-step explanation:

$= {(3 \sqrt{ {x}^{2} } )}^{6}$

$= {(3 {x}^{ \frac{2}{2} } )}^{6}$

$= {(3x)}^{6}$

$= {3}^{6} {x}^{6}$

$= 729 {x}^{6}$

Answer 2

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$\large \sf \underline{Problem:}$

Which expression is equivalent to (3√x^2)^6

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$\large \sf \underline{Answer:}$

The answer is x⁴

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$\large \sf \underline{Explanation:}$

$( \sqrt[3] {x}^{2} )⁶ \: {The \: cube \: root \: of \: x² \: is \: x^(2/3)} (x^(2/3))⁶ {Now, \: simply \: multiply \: 2/3 \: by \: 6 \: to \: get \: 4.}$

x⁴

$( \sqrt[3] {x}^{2} )⁶ \: is \: equivalent \: to \: x⁴$

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