Answer:
[tex]\frac{8}{125}[/tex]
Step-by-step explanation:
[tex](\frac{2}{5})^3[/tex]
Problems like this have exponents and bases. The base is the bigger number of the two - in this case, it's the number inside the parentheses: [tex]\frac{2}{5}[/tex]. The exponent is the smaller number attached to the right of the bigger number - in this case, it's 3. To evaluate, multiply the base by itself however many times the exponent says to. So, this questions wants us to multiply [tex]\frac{2}{5}[/tex] by itself three times.
Knowing this, we can simplify the problem to [tex]\frac{2}{5}[/tex] times itself three times and multiply fractions like how you normally would:
[tex](\frac{2}{5} )^3[/tex]
= [tex](\frac{2}{5}) (\frac{2}{5}) (\frac{2}{5})[/tex]
= [tex]\frac{8}{125}[/tex]
Therefore, [tex]\frac{8}{125}[/tex] is the answer.
