Aguilar4705
Aguilar4705 Aguilar4705
  • 16-08-2019
  • Mathematics
contestada

Question 2 Multiple Choice Worth 4 points)
SS
Simplify 5^3 / 5^8

A. 1 / 5^3

B. 5^3

C. 1 / 25

D. 1 / 5-^3

Respuesta :

gmany
gmany gmany
  • 16-08-2019

Answer:

[tex]\large\boxed{5^{-5}=\dfrac{1}{5^5}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{5^3}{5^8}=5^{3-8}=5^{-5}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{5^5}[/tex]

Based on the correction of the question in the comment.

[tex]\dfrac{5^5}{5^8}=5^{5-8}=5^{-3}=\dfrac{1}{5^3}[/tex] → A

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