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

Question 1 Multiple Choice Worth 4 points)
Simplify (2^5 / 3^2) ^4

A. 2^20/3^8
B. 2^9/3^8
C. 8^5/12^2
D. 2/ 3^2

Respuesta :

gmany
gmany gmany
  • 16-08-2019

Answer:

[tex]\large\boxed{A.\ \dfrac{2^{20}}{3^8}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (a^n)^m=a^{nm}.\\\\\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{(5)(4)}}{3^{(2)(4)}}=\dfrac{2^{20}}{3^8}[/tex]

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