How is this Algebra 1 answer incorrect

This is from another user: @Fely

"3^-4 / 3^7
( 3 / 3 = 1 )
( -4 - ( 7) )
( - 4 ) + (- 7)
( - 11 )
1^-11 ( Since the 1 has negative exponent, put a denominator )
1^-11 / 1 ( The denominator is positive, but the numerator has negative exponent, move it )
1/1^11 ( Move the negative exponent from the numerator to the denominator, to become positive)
1/1 ( Solve for the denominator, 1^11 = 1, 1/1 = 1 )
1"

This is the exact same thing I thought was right, but for some reason it is not. You can get this:
1/ 177147

So my question is, would it have been right to leave the problem at 1^-11, or should that be simplified down to 1/77147 in order to be correct?

Thank you for your time. I am just confused with this, haha. Thanks.

the (3/3 = 1) is not relevant

You really start with
3^(-4)/(3^7)
= 3^(-4) * (3^(-7))
= 3^(-4 +(-7))
= 3^-11
= 1/3^11
= 1/177147

or...
3^(-4)/3^11
= 1/(3^4 * 3^7)
=1/(3^(4 + 7))
=1/3^11
= 3^(-11)
=1/177147

Whether you go to the full expression (1/177147) or stop at 3^(-11) or 1/3^11 depends on the question statement or what version you need for another part of the calculation.

wrong. since its 3^-4 you move 3^-4 to the bottom of the denominator.
So you put it as 1/3^11
I thinks that the answer.