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  • 18-01-2021
  • Mathematics
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Which of the following expressions is equal to 5^6/5^2

A) 5.5.5

B) 1/5.5.5.5

C) 5.5.5.5

D) 3

Respuesta :

Muscardinus Muscardinus
  • 23-01-2021

Answer:

[tex]\dfrac{5^6}{5^2}[/tex] = [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{5^6}{5^2}[/tex]

We need to find this expression is equal to what.

[tex]\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5[/tex]

Hence, [tex]\dfrac{5^6}{5^2}[/tex] is equal to [tex]5{\cdot}5{\cdot}5{\cdot}5[/tex]. Hence, the correct option is (c).

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