Question 580492
{{{((b^x)^(x-9))/(b^(9-x))}}}



{{{(b^(x(x-9)))/(b^(9-x))}}}



{{{b^(x(x-9)-(9-x))}}}



{{{b^(x^2-9x-9+x)^""}}}



{{{b^(x^2-8x-9)^""}}}



So {{{((b^x)^(x-9))/(b^(9-x))}}} simplifies to {{{b^(x^2-8x-9)^""}}}



In other words, {{{((b^x)^(x-9))/(b^(9-x))=b^(x^2-8x-9)^""}}} for all values of b and x, where b and x are positive.