Question

$simpify (4 \div 7) {}^{ - 5} \times (7 \div 4) {}^{ - 7}$
प्लीज सॉल्व दिस क्वेश्चन ​

Answer 1

$\maltese$$\large\frac{16}{49}$

Step-by-step explanation:

$(4 \div 7) {}^{ - 5} \times (7 \div 4) {}^{ - 7}$

$\implies$$(\frac{4}{7})^{-5}$ x $(\frac{7}{4})^{-7}$

$\implies$$(\frac{4}{7})^{-5}$ x $(\frac{4}{7})^{7}$

(exponent sign change after reciprocal)

$\implies$$(\frac{4}{7})^{-5+7}$

$\implies$$(\frac{4}{7})^{2}$

$\implies$$\frac{4^2}{7^2}$

$\implies$$\frac{16}{49}$