davishavalentine82 davishavalentine82
  • 19-08-2021
  • Mathematics
contestada

write an equivalent expression without negative exponent for 5 to the negative 4th power


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Zacookies
Zacookies Zacookies
  • 19-08-2021

Hi! I'm happy to help!

To solve this problem, we need to first solve [tex]5^{-4}[/tex].

Negative exponents divide the number by x instead of multiplying. So, [tex]5^{-4}[/tex] is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is [tex]\frac{1}{5}[/tex], and put this to the fourth power. [tex]\frac{1}{5} ^{4}[/tex]

This expression also equals 1/625.

I hope this was helpful, and keep learning! :D

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