Question

I want the value of x

Answer 1

hey here is your answer

${( - 5)}^{4} \div {( - 5)}^{2} = {( \frac{1}{5} )}^{x} \\ \\ {( - 5)}^{(4 - 2)} = { (\frac{1}{5} )}^{x} \\ \\ {( - 5)}^{2} = {( \frac{1}{5} )}^{x} \\ \\ {( \frac{1}{5} )}^{x} = 25 \\ \\ x = ( - 2) \\ \\ because \: \\ \\ { (\frac{1}{5}) }^{( - 2)} = 25 \\ \\ {5}^{2} = 25 \\ \\ 25 = 25$

hope this helps you