Question

what is the answer for this question​

Answer 1

Answer:

1

Step-by-step explanation:

wet know that on reciprocal the negative value of power changes to positive

so (5/8)power -7 × ( 8/5)power -5

change to (8/5)power 7 × (5/8) power 5

so calculation =

(8/5) 7 × (5/8) 5

56/35 × 25/40

on dividing

8/5 × 5/8

1

Answer 2

$\large{( { \frac{5}{8}) }^{ - 7} \times {( \frac{8}{5} )}^{ - 5} }$

$\large{( { \frac{8}{5}) }^{ 7} \times {( \frac{8}{5} )}^{ - 5} }$

We know that when we multiply the same values and the powers are different, then the powers are added.

$\large{( { \frac{8}{5}) }^{7 + ( - 5)}}$

$\large{( { \frac{8}{5}) }^{(7 - 5)}}$

$\large{( { \frac{8}{5}) }^{2}}$

$\huge{ \red{ \underline{ \Longrightarrow{ \frac{64}{25} }}}}$