Question

simplify (√2÷√3)⁵ ×(6÷7)²​

Answer 1

Answer:

$( \sqrt{2} \div \sqrt{3} ) {}^{5} \times (6 \div 7) {}^{2} \\ \\ \\ = > ( \frac{ \sqrt{2} }{ \sqrt{3} } ) {}^{5} \times ( \frac{6}{7} ) {}^{2} \\ \\ \\ \\ = > \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{2} }{ \sqrt{3} } \times (\frac{6}{7} ) {}^{2} \\ \\ \\ \\ \\ = > \frac{2}{3} \times \frac{2}{3 } \times \frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{6}{7} \times \frac{6}{7} \\ \\ \\ = > \frac{16}{49} \times \frac{ \sqrt{2} }{ \sqrt{3} } \\ \\ \\ = > \frac{16 \sqrt{2} }{49 \sqrt{3} } ans....$

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Answer 2

Step-by-step explanation:

√2÷√3=0.816496581

6÷7=0.857142857

now

=(0.81)^5×(0.85)^2

=0.34×0.72

=0.2448