Question

What is the correct expanded form and value of
5
?

Answer 1

The answer would be option 2

Answer 2

`(4)/(5) .(4)/(5) .(4)/(5) =(64)/(125)`

Explanation:

An "exponential form" is being used for "repeated multiplication." The value of
`((4)/(5) )^3` is equal to
`(4)/(5)` being repeatedly multiplied by itself.

• 
  `(4)/(5)` x

• 
  `(16)/(25)` x
  `(4)/(5)` =
  `(64)/(125)`

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
`(4)/(5)`, which is
`(5)/(4)`, instead of the fraction itself.