Simplify 5 to the negative 4th power over 5 to the 3rd

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10-02-2017
Mathematics

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Simplify 5 to the negative 4th power over 5 to the 3rd

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geerky42 geerky42 · Answer 1 · 2017-02-10T23:38:29-05:00

geerky42 geerky42

10-02-2017

"5 to the negative 4th power over 5 to the 3rd" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷

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