Math  /  Algebra

Question6. Copy and complete the table. Express values in the last column in rational form. a) b) c) d) \begin{tabular}{|c|c|l|} \hline \begin{tabular}{l} Exponential \\ Form \end{tabular} & Radical Form & \begin{tabular}{l} Evaluation \\ of Expression \end{tabular} \\ \hline 10012100^{\frac{1}{2}} & & \\ \hline 160.2516^{0.25} & & \\ \hline & 121\sqrt{121} & \\ \hline(27)53(-27)^{\frac{5}{3}} & & \\ \hline 492.549^{2.5} & & \\ \hline & 102410\sqrt[10]{1024} & \\ \hline \end{tabular}

Studdy Solution
Evaluate 102410=1024110=2\sqrt[10]{1024} = 1024^{\frac{1}{10}} = 2
The completed table is:
\begin{tabular}{|c|c|l|} \hline \begin{tabular}{l} Exponential \\ Form \end{tabular} & Radical Form & \begin{tabular}{l} Evaluation \\ of Expression \end{tabular} \\ \hline 100^{\frac{1}{2}} & \sqrt{100} & 10 \\ \hline 16^{0.25} & \sqrt[4]{16} & 2 \\ \hline 121^{\frac{1}{2}} & \sqrt{121} & 11 \\ \hline (-27)^{\frac{5}{3}} & \left(\sqrt[3]{-27}\right)^5 & -243 \\ \hline 49^{2.5} & \left(\sqrt{49}\right)^5 & 16807 \\ \hline 1024^{\frac{1}{10}} & \sqrt[10]{1024} & 2 \\ \hline \end{tabular}

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