Respuesta :

Answer: 0.008

hope this helps

Answer:

[tex]\frac{1}{125}[/tex] or 0.008

Step-by-step explanation:

There are two possible ways of solving this given problem.

Method 1:

Applying the Quotient to Power Rule of Exponents: [tex](\frac{a}{b})^{m} = \frac{a^{m}}{b^{m}}[/tex]

[tex]\frac{1}{5}^{3} = \frac{1^{3}}{5^{3}}[/tex] =  [tex]\frac{1}{125}[/tex].

Method 2:

[tex]\frac{1}{5}^{3}[/tex] is the same thing as:  [tex]\frac{1}{5} * \frac{1}{5} *\frac{1}{5}[/tex] = [tex]\frac{1}{125}[/tex] or 0.008.

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