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]