Question

find x if
$( \frac{2}{5})^{ - 3 } \times (\frac{2}{5} )^{14} = ( \frac{2}{5})^{2 + 3x}$
​

Answer 1

Answer:

$x = 3$

Step-by-step explanation:

$( \frac{2}{5})^{ - 3 } \times (\frac{2}{5} )^{14} = ( \frac{2}{5})^{2 + 3x} \\ - 3 + 14 = 3x + 2 \\11 = 3x + 2 \\ 11 - 2 = 3x \\ 9 = 3x \: \: \: therefore \: x = 3</p><p>$