Question

simplify the following - (√2/√3)^5(6/7)^2​

Answer 1

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Simplify${ - ( \frac{ \sqrt{2} }{ \sqrt{3} } )}^{5} \times ( { \frac{6}{7} })^{2}$

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$\implies$${ - ( \frac{ \sqrt{2} }{ \sqrt{3} } )}^{5} \times ( { \frac{6}{7} })^{2}$

$\implies$$- \frac{ {2}^{2} \times \sqrt{2} }{ {3}^{2} \times \sqrt{3} } \times \frac{36}{49}$

$\implies$$- \frac{4 \sqrt{2} }{9 \sqrt{3} } \times \frac{36}{39}$

$\implies$$- \frac{4 \sqrt{2} }{ \sqrt{3} } \times \frac{4}{49}$

$\implies$$- \frac{16 \sqrt{2} }{49 \sqrt{3} }$

$\implies$$- \frac{16 \sqrt{6} }{147}$

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