Question

10. Simplify and give reasons( 4/7)power-5*(7/4)power -7​

Answer 1

Answer:

$= { (\frac{4}{7}) }^{ - 5} \times { (\frac{7}{4} )}^{- 7} \\ = {( \frac{7}{4} )}^{5} \times {( \frac{4}{7} )}^{7} \\ = \frac{ {7}^{5} \times {4}^{7} }{ {4}^{5} \times {7}^{7} } \\ = \frac{ ({4})^{7 - 5} }{( {7})^{7 - 5} } \\ = \frac{ {4}^{2} }{ {7}^{2} } \\ = {( \frac{4}{7} )}^{2}$

Answer 2

Answer:

16/49

Step-by-step explanation:

(7/4)5×(4/7)7

7power5×4power7

/4power7×7 power 4

4/7 power7-5

= 4/7 power 2

= 16/49