Question

(2/5)^4x(2/5)^5=(2/5)^2x-1

Step by step​

Answer 1

Answer:

$x = 5$

Step-by-step explanation:

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

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

${ (\frac{2}{5} )}^{9} = { (\frac{2}{5} )}^{2x - 1}$

$bases \: same \: powers \: equal$

$9 = 2x - 1$

$9 + 1 = 2x$

$10 = 2x$

$x = \frac{10}{2} = 5$