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

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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

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1 Answer

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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.

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