Question

(243)^_2/3 (32)^-1/5 /√(196)^-1​

Answer 1

Step-by-step explanation:

$\frac{ {243}^{ \frac{ - 2}{3} } \times {32}^{ \frac{ - 1}{5} } }{ \sqrt{ {196}^{ - 1} } } \\ = \frac{ \sqrt{ {196}^{1} } }{ {243}^{ \frac{2}{3} } \times {32}^{ \frac{1}{5} } } \\ = \frac{14}{ \sqrt[3]{ {243}^{2} } \times \sqrt[5]{ {32}^{1} } } \\ = \frac{14}{\sqrt[3]{ {243} \times 243 } \times \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} } \\ = \frac{14}{ \sqrt[3]{3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3} \times 2} \\ = \frac{14}{3 \times 3 \times 3 \times 2 \times \sqrt{3} } \\ = \frac{7}{27 \sqrt{3} } \\ agar \: 243 \: ki \: power \: - \frac{3}{2} \: ho \: to \: answer \: kuch \: aur \: ho \: skta \: hai$

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