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Which expressions are equivalent to 1 5 ⋅ 1 5 ⋅ 1 5 ⋅ 1 5 5 1 ​ ⋅ 5 1 ​ ⋅ 5 1 ​ ⋅ 5 1 ​ start fraction, 1, divided by, 5, end fraction, dot, start fraction, 1, divided by, 5, end fraction, dot, start fraction, 1, divided by, 5, end fraction, dot, start fraction, 1, divided by, 5, end fraction ?

Answer :

Answer:

The possible expressions are:

  • [tex]\frac{1}{5} X \frac{1}{5} X \frac{1}{5}X \frac{1}{5}[/tex]
  • [tex]\frac{1}{5^4}[/tex]
  • [tex]\frac{1}{625}[/tex]

Step-by-step explanation:

We are to determine the expression equivalent to:

[tex]\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}\cdot \frac{1}{5}[/tex]

Since the options are not listed, I would give you possible answers.

[tex]\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}\cdot \frac{1}{5} = \frac{1}{5} X \frac{1}{5} X \frac{1}{5}X \frac{1}{5}[/tex]

[tex]\frac{1}{5} X \frac{1}{5} X \frac{1}{5}X \frac{1}{5}=(\frac{1}{5})^4=\frac{1^4}{5^4}=\frac{1}{5^4}[/tex]

[tex]\frac{1}{5} X \frac{1}{5} X \frac{1}{5}X \frac{1}{5}=\frac{1}{625}[/tex]

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