Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
- [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]
Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
