When you flip a fraction to remove the negative exponent, do you flip all of what's on numerator and denominator?

Question

When you flip a fraction to remove the negative exponent, do you flip all of what's on numerator and denominator? Or do you only do that with variables

Such as:

(-7a²b³c⁰/3a³b⁴c³ )^-4

Will it be written as:

(3a³b⁴c³/7a²b³c⁰)⁴

or

(3a³b⁴c³/-7a²b³c⁰)⁴

or

(3a²b³c⁰/7a³b⁴c³ )^-4

or

(7a²b³c⁰/3a³b⁴c³ )^-4

Answer 1

just write it out step by step:

$$\left(\frac{-7a^2b^3c^0}{3a^3b^4c^3}\right)^{-4} = \frac{1}{\left(\frac{-7a^2b^3c^0}{3a^3b^4c^3}\right)^{4}} = \frac{(3a^3b^4c^3)^4}{(-7a^2b^3c^0)^4}$$ So your second option is correct. Hope this helps.