Question

A train has 15 cars, each car has 15 boxes. Each box has 15 monitors. Express the total number of monitors as: 1) Power. 2) Power development. 3) Result.

Answer 1

`Total = 15^3` ---- Power

`Total = 15 * 15 * 15` --- Power development

`Total =3375` --- Result

Explanation:

Given

`Train = 15\ cars`

`Car = 15\ boxes`

`Box = 15\ monitors`

Required

Number of monitors

We have:

`1\ box = 15\ monitors`

Multiply both sides by 15

`15 * 1\ box = 15 * 15\ monitors`

`15\ boxes = 15 * 15\ monitors`

Given that:
`Car = 15\ boxes`

So, the expression becomes:

`1\ car= 15 * 15\ monitors`

Multiply both sides by 15

`15 * 1\ car= 15 * 15 * 15\ monitors`

`15\ cars= 15 * 15 * 15\ monitors`

Given that:
`Train = 15\ cars`

So, the expression becomes

`1\ Train= 15 * 15 * 15\ monitors`

The total monitors is:

`Total = 15 * 15 * 15`

Represent as a power

`Total = 15^3`

As a power development [We expand the power]

`Total = 15 * 15 * 15`

And the result is:

`Total =3375`