The correct option is C 243 [ 729 = 3 × 3 × 3 × 3 × 3 × 3; = 3^6; So,; √(( 729)^5/3) ...

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Finding Square Root by Long Division Method

solve : √ 7...

Question

solve : $\sqrt{{(729)}^{\frac{5}{3}}}$

\frac{1}{81}

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81

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243

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729

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Solution

The correct option is C $243$
$\begin{matrix} 729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 3^{6} S o, \sqrt{{(729)}^{\frac{5}{3}}} = \sqrt{{(3^{6})}^{\frac{5}{3}}} = \sqrt{{(3^{5})}^{2}} = 3^{5} = 243 \end{matrix}$

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{lim}_{x \to 0} \frac{{(729)}^{x} - {(243)}^{x} - {(81)}^{x} + 9^{x} + 3^{x} - 1}{x^{3}}

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