Respuesta :

To write in the expanded form with exponents, we can start by the units, the number at the right and.

Since it is the units places, the exponent is:

[tex]1=10^0[/tex]

And the value is the number in this place, which is 6:

12,756:

[tex]6\times1=6\times10^0[/tex]

Now, we go for the number to its left. Since it is in the next place, the exponent is incremented by 1, because this is the tens place:

[tex]10=10^1[/tex]

And the value is now the number in this place:

12,756:

[tex]5\times10^1[/tex]

We continue this:

12,756:

[tex]7\times10^2[/tex]

12,756:

[tex]2\times10^3[/tex]

12,756:

[tex]1\times10^4[/tex]

Now, we add them all to get the expanded form of 12,756:

[tex]1\times10^4+2\times10^3+7\times10^2+5\times10^1+6\times10^0^{}[/tex]