Question

simplify and give reasons (4/7)power -5*(7/4)power-7​

Answer 1

Answer:

$\frac{16}{49}$

Step-by-step explanation:

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

$=(\frac{4}{7} )^{-5}*(\frac{7}{4})^{-7}$ using $a^{-m}=\frac{1}{a^{m} }$

$=(\frac{4}{7})^{-5+7}$ using $a^{m} *a^{n} =a^{m+n}$

$=\frac{4^{2} }{7^{2} }$ using $(\frac{a}{b})^{m} =\frac{a^{m} }{b^{m} }$

$=\frac{16}{49}$