Aguilar4705
Aguilar4705 Aguilar4705
  • 16-08-2019
  • Mathematics
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Question 5 Multiple Choice Worth 4 points)
Which expression is equivalent to (5^3)-^2?

1/5^3

-1/5.5.5.5.5.5

5^3

1/5.5.5.5-5.5

Question 5 Multiple Choice Worth 4 points Which expression is equivalent to 532 153 1555555 53 1555555 class=

Respuesta :

gmany
gmany gmany
  • 16-08-2019

Answer:

[tex]\large\boxed{\dfrac{1}{5\cdot5\cdot5\cdot5\cdot5\cdot5}}[/tex]

Step-by-step explanation:

[tex]\text{Use}\ (a^n)^m=a^{nm}\\\\(5^3)^{-2}=5^{(3)(-2)}=5^{-6}\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{5^6}\\\\\text{use}\ a^n=\underbrace{a\cdot a\cdot a\cdot ...\cdot a}_{n}\\\\=\dfrac{1}{5\cdot5\cdot5\cdot5\cdot5\cdot5}[/tex]

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