Respuesta :
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.