Question

evaluate (5/8 ) ki power 7 multiply (8/5) ki power 4​

Answer 1

125/512

Step-by-step explanation:

${( \frac{5}{8} )}^{7} \times {( \frac{8}{5} )}^{4} \\ = {( \frac{5}{8} )}^{7} \times {( \frac{5}{8} )}^{ - 4} \\ = {( \frac{5}{8} )}^{7 - 4} \\ = {( \frac{5}{8} )}^{3} \\ = \frac{125}{512}$

Answer 2

$\huge{\underline{\bf\red{QuestiØn} :}}$

Evaluate :-

$\boxed{ { \bigg( \frac{5}{8} \bigg) }^{7} \times { \bigg( \frac{8}{5} \bigg)}^{4} }$

$\huge{\underline{\bf\blue{SolutiØn}\ :}}$

$\begin{aligned} \\ & \quad \ { \bigg( \frac{5}{8} \bigg) }^{7} \times { \bigg( \frac{8}{5} \bigg)}^{4} \\ \\ & = { \bigg( \frac{5}{8} \bigg) }^{7} \times { \bigg( \frac{5}{8} \bigg)}^{ - 4} \\ \\ & = { \bigg( \frac{5}{8} \bigg) }^{(7 - 4)} \\ \\ & = { \bigg( \frac{5}{8} \bigg) }^{3} \\ \\ & = \frac{ {(5)}^{3} }{ {(8)}^{3} } \\ \\ & = { \underline{\boxed{ \bold{ \quad \frac{125}{512} \quad}}}} & & & & \end{aligned}$

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$