Question

solve the following

if (2/5) raise to the power of 5 × (25/4)³ = (5/2) ³x-²​

Answer 1

Step-by-step explanation:

$( \frac{2}{5} ) {}^{5} \times ( { \frac{25}{4} })^{3} =( { \frac{5}{2} )}^{3x - 2} \\ ( { \frac{5}{2}})^{ - 5} \times ( { \frac{5}{2}) }^{3 \times 2} = ( { \frac{5}{2} )}^{3x - 2} \\ ( { \frac{5}{2} )}^{ - 5 + 6} = ( { \frac{5}{2} )}^{3x - 2} \\ 3x - 2 = 1 \\ 3x = 1 + 2 \\ x = \frac{3}{3} \\ x =1$