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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.

Sagot :

MrRoyalidn

Answer:

[tex]Total = 15^3[/tex] ---- Power

[tex]Total = 15 * 15 * 15[/tex] --- Power development

[tex]Total =3375[/tex] --- Result

Step-by-step explanation:

Given

[tex]Train = 15\ cars[/tex]

[tex]Car = 15\ boxes[/tex]

[tex]Box = 15\ monitors[/tex]

Required

Number of monitors

We have:

[tex]1\ box = 15\ monitors[/tex]

Multiply both sides by 15

[tex]15 * 1\ box = 15 * 15\ monitors[/tex]

[tex]15\ boxes = 15 * 15\ monitors[/tex]

Given that: [tex]Car = 15\ boxes[/tex]

So, the expression becomes:

[tex]1\ car= 15 * 15\ monitors[/tex]

Multiply both sides by 15

[tex]15 * 1\ car= 15 * 15 * 15\ monitors[/tex]

[tex]15\ cars= 15 * 15 * 15\ monitors[/tex]

Given that: [tex]Train = 15\ cars[/tex]

So, the expression becomes

[tex]1\ Train= 15 * 15 * 15\ monitors[/tex]

The total monitors is:

[tex]Total = 15 * 15 * 15[/tex]

Represent as a power

[tex]Total = 15^3[/tex]

As a power development [We expand the power]

[tex]Total = 15 * 15 * 15[/tex]

And the result is:

[tex]Total =3375[/tex]

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