Question

Evaluate : 81^-3/4 * 343^2/4

Answer 1

Step-by-step explanation:

${81}^{ \frac{ - 3}{4} } \times {343}^{ \frac{2}{4} } = { \sqrt[4]{81} }^{ - 3} \times { \sqrt[4]{343} }^{2} \\ = {3}^{ - 3} \times \sqrt{343} \\ = \frac{1}{9} \times 7 = \frac{7}{9}$

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Answer 2

$\begin{gathered} {81}^{ \frac{ - 3}{4} } \times {343}^{ \frac{2}{4} } = { \sqrt[4]{81} }^{ - 3} \times { \sqrt[4]{343} }^{2} \\ = {3}^{ - 3} \times \sqrt{343} \\ = \frac{1}{9} \times 7 = \frac{7}{9} \end{gathered}$

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