Question

find x if (2/5)^-8 x (2/5) ^ -4 = (2/5) ^-4x​

Answer 1

Answer:

3 is the answer

Step-by-step explanation:

Kindly refer to the attachment for the step by step process.

Answer 2

Step-by-step explanation:

${( \frac{2}{5} )}^{ - 8} \times {( \frac{2}{5} )}^{ - 4} = {( \frac{2}{5} )}^{ - 4x} \\ ⇒ {( \frac{2}{5} )}^{ - 8 + ( - 4)} = {( \frac{2}{5} )}^{ - 4x} \\ ⇒ {( \frac{2}{5} )}^{ - 12} = {( \frac{2}{5} )}^{ - 4x}$

since, the bases are same,

$- 12 = - 4x \\ ⇒ \frac{ - 12}{ - 4} = x \\⇒ 3 = x$

hence, $x = 3$.