Question

Simplify and write the answer in exponential form - (2/5÷2/8)‘5’ × 2/-5​

Answer 1

${\huge{\underline{\green {\sf{Answer}}}}}$

➫$- {\left(\dfrac{2}{5}÷\dfrac {2}{8}\right)}^{5}×\dfrac {2}{-5}$

➫$- {\dfrac{2}{5}×\dfrac {8 }{2}}^{5}×\dfrac {2}{-5}$

➫$- {\dfrac{8}{5}}^{5}×\dfrac {2}{-5}$

➫$- \dfrac{32768}{3125}×\dfrac {2}{-5}$

➫$\dfrac{4096}{625}$

↬ ${\orange {\rm{Now \:writing \:it \:in\: exponential \:form :}}}$

➫$({\dfrac{8}{5}})^{4}$

__________________________