Question

simplify (5/8)-7 × (8/5)-5​

Answer 1

answer.............

Answer 2

Question :

• simplify (5/8)-7 × (8/5)-5

$\large \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

• note - resiprocal the numbers to make the power positive.

$\implies \large \: ( \dfrac{8}{5})^{7} \times ( \dfrac{5}{8} ) {}^{5}$

$\implies\large \red{ \: ( \dfrac{8}{5} ) {}^{2} }$

$\implies \large \: \dfrac{8 {}^{2} }{5 {}^{2} }$

$= \large \: \blue{ \boxed{ \purple{\dfrac{64}{25} }}}$