Question

find the value of x in the following (2/5)-⁴÷(2/5)-⁵=(2/5)²x​

Answer 1

Answer:

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

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

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

1 = 2x

x = 1/2

x = 0.5

Answer 2

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