Question

Evaluate using only positive exponents,
(-2w)^-7

Answer 1

-w^-7/128 (fraction form)

Explanation:

1. Distribute exponent

(-2w)^-7

(-2)^-7w^-7

2. Evaluate the exponent

(-2)^-7w^-7

-1/128w^-7

3. Combine multiplied terms into a single fraction

-1/128w^-7

-1w^-7/128

4. Solution

-w^-7/128

Answer 2

128 * [1 / (x^7)]

Explanation:

first we simplify

(-2)^-7 (x^-7)

128x^-1

now we use the exponential ruleset to make the negative exponent a positive one

128 * [1 / (x^7)]