Use the exponential rule to simplify the expression. Evaluate all exponential expressions. Assume the variables represent nonzero real numbers.
(2x)^-2/(5x)^-1
To simplify the expression, we can apply the rule that states (a^m)^n = a^(m*n).
Therefore, we have:
(2x)^-2 = 1/(2x)^2 = 1/(4x^2)
(5x)^-1 = 1/(5x)^1 = 1/(5x)
Now we can substitute these values back into the original expression:
(2x)^-2/(5x)^-1 = (1/(4x^2))/(1/(5x)) = (5x)/(4x^2) = 5/(4x)
Therefore, the simplified expression is 5/(4x).