Question

find the x if ( 2/5)2x × (5/2)4 = (2/5)6​

Answer 1

$( \frac{2}{5})(2x)\times ( \frac{5}{2} )4 = (\frac{2}{5})6 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8x = \frac{12}{5} \\ \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:x = \frac{12}{5 \times 8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:x = \frac{12}{40} = \frac{3}{10} = 0.3$

Answer 2

$( \frac{2}{5} )2x \times ( \frac{5}{2} ) \times 4 = ( \frac{2}{5} )6 \\ \frac{4x}{5} \times 10 = \frac{12}{5} \\ 40x = 12 \\ x = \frac{12}{40} \\ x = \frac{3}{10}$