Final answer:
The expression (-2x)^-5 is rewritten with positive exponents as 1/(-2x)^5 by moving the base to the denominator and changing the exponent to positive.
Step-by-step explanation:
To write the expression (-2x)^-5 with only positive exponents, we apply the rule that tells us negative exponents in the numerator flip to the denominator as positive exponents.
Therefore, (-2x)^-5 becomes 1/(-2x)^5. Here the negative exponent has been transformed by moving the base to the denominator and changing the exponent to positive. Recall that a negative exponent means we take the reciprocal of the base raised to the positive exponent. Therefore, (-2x)-5 can be rewritten as 1/((-2x)5).