Question

simplify the following (3√x²)³/²​

Answer 1

( cube root of x² ) ^3/2

= ( x ^2/3 ) ^3/2

[ Since ( a^m )^n = a ^ mn ]

= x ^ ( 2/3 × 3/2 )

= x ^1/2

= √x

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thanx

Answer 2

$( \sqrt{x {}^{3)} } \frac{2}{3} \\ = \sqrt{x {}^{2 } } \\ using \: the \: identity \\ \sqrt{a {}^{2} } = a \\ we \: get \\ \sqrt{x {}^{2} } = x$

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